1st Question
3x + 8y = -4
2x - 4y = 16
2nd Question
6x - y = 16
x = 4y - 5
3rd Question
x + y = 19
3x - 2y = -3
Answers
9514 1404 393
Answer:
(x, y) = (4, -2)(x, y) = (3, 2)(x, y) = (7, 12)Step-by-step explanation:
When you have a lot of the same kind of problem to solve, it makes a certain amount of sense to let a spreadsheet do it. You can enter the formulas once, and then all you need to do is supply the different data for the different problems.
Here, we can put the equations into standard form, then use Cramer's Rule to solve them. For the two equations ...
ax +by = cdx +ey = gwe can define ...
D = (ae -db)
Then the values of x and y are ...
x = (ce -gb)/D
y = (ag -dc)/D
The attached spreadsheet implements these equations to find the values of x and y.
__
The second equation of the 2nd Question is not given in standard form. To put it into standard form, we need to subtract 4y from both sides:
x -4y = -5
_____
Additional comment
Many graphing calculators have matrix functions that will solve sets of linear equations, too. For those, you can use the function that puts the coefficient matrix into Reduced Row-Echelon Form. Often that function is named RREF( ), as it is on my TI-84 and HP-48 calculators. The input coefficient matrix will look like ...
[tex]\left[\begin{array}{ccc}a&b&c\\d&e&g\end{array}\right][/tex]
and the output matrix will look like ...
[tex]\left[\begin{array}{ccc}1&0&\text{x-value}\\0&1&\text{y-value}\end{array}\right][/tex]
Effectively, the equations are solved by "elimination." If the calculator shows [0 0 0] in the bottom row of output, it means the equations are dependent and there are infinite solutions. If it shows [0 0 1], the equations are inconsistent, and there are no solutions.
Related Questions
What is an expression of -3/4
Answers
Convert 2.5 into Fraction and ¹⁹⁄₂₀ to decimal form
Answers
Answer:
0.25 would be 1/4 and 19/20 would be 0.95
Step-by-step explanation:
you can get 19/10 be divideing
and 0.25 by solving
2.5 has a decimal and a whole number part, so you can know that you will have 2 as your whole number.
.5 is five tenths, so you could say 5/10.
5/10 simplified is 1/2.
2.5 as a fraction is 2 1/2.
19/20 is a little harder, but let’s start!
We need to find what 20 is multiplied by to get 100. 100 divided by 20 is 5.
Now that you have that number, you want to multiply both the numerator and the denominator by 5.
19 x 5 = 95
_____
20 x 5 = 100
95/100 is easy to turn into a decimal.
Ninety-five one hundredths is 95/100.
Ninety-five one hundredths is also .95
Your answers are 2 1/2 and .95
Solve for x:
11) 2(x + 4) = 18
Answers
Answer:
x = 5
Step-by-step explanation:
2 (x + 4) = 18
x + 4 = 9
x = 5
Answer:
x=5
Step-by-step explanation:
2(x + 4) = 18
Divide each side by 2
2/2(x + 4) = 18/2
x+4 = 9
Subtract 4 from each side
x+4-4 = 9-4
x=5
whats 4(-2-9.2x)=3(2-7.6x) solve for x
Answers
Answer:
x = -1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
[tex](4)(-2) + (4)(-9.2x)=(3)(2)+(3)(-7.6x)[/tex] [tex]-8 - 36.8x = 6 - 22.8x[/tex] [tex]-36.8x - 8 = -22.8x + 6[/tex]Step 2: Add 22.8x to both sides.
[tex]-36.8x - 8 + 22.8x = -22.8x + 6 + 22.8x[/tex] [tex]-14x - 8 = 6[/tex]Step 3: Add 8 to both sides.
[tex]-14x - 8 + 8 = 6 + 8[/tex] [tex]-14x = 14[/tex]Step 4: Divide both sides by -14.
[tex]\frac{-14x}{-14}=\frac{14}{-14}[/tex] [tex]x = -1[/tex]Therefore, x = -1.
The solution to the equation 4( -2 - 9.2x ) = 3( 2 - 7.6x ) is x = -1.
What is the solution to the equation?Given the equation in the question:
4( -2 - 9.2x ) = 3( 2 - 7.6x )
To solve the equation 4(-2 - 9.2x) = 3(2 - 7.6x), distribute the constants and then isolate the variable x:
4( -2 - 9.2x ) = 3( 2 - 7.6x )
4 × -2 + 4 × -9.2x = 3( 2 - 7.6x )
-8 - 36.8x = 3( 2 - 7.6x )
-8 - 36.8x = 3 × 2 + 3 × -7.6x
-8 - 36.8x = 6 - 22.8x
Collect like terms:
-8 = 6 - 22.8x + 36.8x
-8 - 6 = - 22.8x + 36.8x
Add like terms:
-14 = 14x
14x = -14
Divide both sides by 14:
x = -14/14
x = -1
Therefore, the value of x is -1.
Learn more about equations here: brainly.com/question/14686792
#SPJ3
Factor 10xy-25x-16y+40=
Answers
(2y−5)(5x−8)
step by step Explanation:
10xy−25x−16y+40
10xy−25x−16y+40
=(2y−5)(5x−8)
hope it helps
Use the Distributive Property to simplify the expression. (8⋅7)+(8⋅5)
Answers
Answer:
56 + 40
Step-by-step explanation:
multiply what is in the parenthesis, don't solve all the way because the instructions say to simplify.
Hi am here spidey taylor
Answers
Answer:
this is my another account on brainly
5. Mohammed is shopping for gifts. He compared prices at two stores so he could get
the best deals. Which store is cheapest per unit for greeting cards ?
Gift Prices
Gift
handkerchiefs
greeting cards
ballpoint pens
audiocassette tapes
Darren's Warehouse
package of 10 for $11.00
package of 8 for $9.99
one dozen for $9.60
one dozen for $13.20
U-Rule Department Store
package of 3 for $3.75
package of 3 for $5.49
2 for $1.59
5-pack for $5.95
A Darren’s Warehouse
B U-Rule Department Store
Answers
Answer:
Thus, it is cheaper at Darren’s Warehouse.
Step-by-step explanation:
Package of 8 at Darren’s Warehouse for $9.99
Package of 1 at Darren’s Warehouse for $9.99/8=$1.24875
Package of 3 at U-Rule Department Store for $5.49
Package of 1 at U-Rule Department Store for $5.49/3=$1.83
Thus, it is cheaper at Darren’s Warehouse.
134.$
ga tau gw di sini uang ya Rp bukan dolar ya kecuali solar atau dolar kuning
The current United States population is about 314,000,000 people. If an iPad costs $500.00, what would be the total cost of purchasing an iPad for each person?
Answers
Answer:
157,000,000,000
Step-by-step explanation:
314,000,000 X 500
NO LINKS OR ASSESSMENT!!
Write a rule to describe each transformation. Part 5
Answers
Answer:
(x, y) → (x + 3, y + 6)Step-by-step explanation:
This is a translation up and right.
Compare the coordinates of corresponding points:
X(-5, -3) and X'(-2, 3)The difference of coordinates:
-2 - (-5) = 33 - (-3) = 6The rule:
(x, y) → (x + 3, y + 6)In a fishing derby, jimmy caught six more fish than his sister kelly. How many fish did each person catch if they caught a total of 20 fish?
Answers
Hope I can help you
one of the root of the quadratic equation x²-(4+p)x+12=0 is three time the other find the root of the equation
Answers
Answer:
it should be p=14,x=16,12
The roots of the equations are 2 and 6.
What is a quadratic equation?The equation of the form ax² + bx +c is known as a quadratic equation.
Given that, the quadratic equation is x² - (4 + p)x + 12= 0.
Let the roots of the quadratic equation be a and b.
If the coefficient of x² is 1 in a quadratic equation, then the coefficient of x is equal to the sum of the roots and the constant term is equal to the product of the roots.
Therefore,
a + b = -(4 + p) (1)
ab = 12 (2)
Given that, one root is three times the other, so, let a = 3b and substitute it into equation (2)
3b(b) = 12
3b² = 12
b² = 4
b = 2
Therefore, the value of a is:
a= 3(2)
a = 6
Hence, the roots of the equations are 2 and 6.
Learn more about the quadratic equations:
https://brainly.com/question/17177510
#SPJ2
a jacket is on sale for $170. this is 80% of the regular price. what is the regular price
Answers
Answer:
$212.5
Step-by-step explanation:
x= 100*170/80
x= 17000/80
x= 212.5
Needing help with geometry
Answers
Answer:
Bro can you send your question
Answer:
whate your questions bro
please help!!!! will mark brainlist! am I right??
Answers
Answer:
you are corcect
Step-by-step explanation:
considering the line negative x -6 y equals -6 what is the line perpendicular with a slope of a line perpendicular to this line what is the slope of the line parallel to this line
Answers
9514 1404 393
Answer:
perpendicular: undefined
parallel: zero
Step-by-step explanation:
The line y = -6 is a horizontal line. Between any two points on the line, the difference in y-values is zero, and the difference in x-values is non-zero. The slope of this horizontal line is the ratio of these differences:
slope = 0/(non-zero) = 0
Any parallel line will have the same slope. The slope of a parallel line is 0.
__
A line perpendicular to a horizontal line is a vertical line. It will have the equation x = constant. Between any two points on the line, the difference in y-values is non-zero, and the difference in x-values is zero. The slope of this vertical line is the ratio of these differences:
slope = (non-zero)/0 = undefined
The slope of the perpendicular line is undefined.
3 Equivalent ratioS for 7:9
Answers
Answer:
21:27
14:18
35:45
Step-by-step explanation:
These are only a few
4. 3/16. × 7 12/32.
Answers
Answer:
1 49/128
Step-by-step explanation:
3/16. × 7 12/32
3/16 * 236/32
177/128
1 49/128
find the values of x,y if (x+y,x-y) = (5,3)
Answers
The values are :
x = 4y = 1solution is in attachment !
Write an equation for the description.
Hector is visiting a cousin who lives 300 miles away. He has driven 95 miles. How many more miles does
he need to drive to reach his cousin's home? Let d be how many miles left to reach his cousin's home.
Answers
d=205
Hector has 205 more miles to go
if 40 workers can complete a piece of work in 15 days how many workers should be employed to complete the same work in 3 days
Answers
To make an international telephone call, you need a the code the country you are calling. The codes for the country A, country B, and C are three consecutive integers whose sum is 90 find the code for each county
Answers
Answer:
Let:
x = code for country A
This is important: "the codes are three consecutive integers" That means,
x is code for country A
(x+1) is code for country B
(x+2) is code for country C
whose sum is 81" means
x + (x+1) + (x+2) = 90
3x+3=90
=3x=90-3
=3x=87
=x=87/3
=x=29
So, the codes are=29,30,31
To check 29+30+31=90
PLEASE HELPPP YOU HAVE TO CHOOSE ABOUT 3 ANSWERS!!
Answers
Answer:
C, D, G
Step-by-step explanation:
The Jeans dried due to a process called vaporization where water evaporates into the atmosphere into a steam like form, however this answer wasn't available so C, D, G would be your best bet.
Answer:
c , d , g ,
bcaz this three options r for sure correct
57²⁰¹⁸ and 51²⁰²⁰, which one is larger? (57^2018 vs 51^2020)
Answers
Answer:
steps below
Step-by-step explanation:
Set log x = a and log y = b
x = 10ᵃ and y = 10ᵇ
if a>b 10ᵃ > 10ᵇ
so x > y
x = 57²⁰¹⁸ y = 51²⁰²⁰
log x = log 57²⁰¹⁸ = 2018 * log 57 = 3543.36 : (a)
log y = log 51²⁰²⁰ = 2020 * log 51 = 3449.29 : (b)
3543.36 > 3449.29 log x > log y
x > y: 57²⁰¹⁸ > 51²⁰²⁰
Convert numbers 359 to binary
Answers
Expand 359 as a sum of the largest powers of 2 that you can:
359 = 256 + 103
359 = 256 + 64 + 39
359 = 256 + 64 + 32 + 7
359 = 256 + 64 + 32 + 4 + 3
359 = 256 + 64 + 32 + 4 + 2 + 1
359 = 2⁸ + 2⁶ + 2⁵ + 2² + 2¹ + 2⁰
359 = 1 0110 0111₂
Which division problem is modeled in the image? A) 2 ÷ 6 = 3 B) 2 ÷ 3 = 6 C) 3 ÷ 2 = 6 D) 6 ÷ 3 = 2 the image has 3 circles an 2 stars in each circle
Answers
Answer:
b
Step-by-step explanation:
Answer:
its b
Step-by-step explanation:
A 12.5-gallon gasoline tank is 1/8 full. How many gallons will it take to fill the tank?
Answers
Answer:
10.9375 galStep-by-step explanation:
Volume of the tank = 12.5 galFull = 1/8 of the tankEmpty = 1 - 1/8 = 7/8 of the tankVolume to fill the empty part:
12.5*7/8 = 12.5 * 0.875 = 10.9375 galDetermine which of the following is a geometric sequence.
A. 2, 5, 8, 11
B. 2, -6, -18, -24
C. 3, -6, 12, -24
D. 3, 6, 18, 36
Answers
Step-by-step explanation:
A is in geometric sequence as 3 is added in the number,
2 + 3 = 5, 5 + 3 = 8, 8 + 3 = 11
hope this answer helps you dear...take care and may u have a great day ahead!
0.3 divided by 6 =
Please help me show my work
Answers
Answer:
0.05
Step-by-step explanation: (this is suppose to be long Division and thats a line between 6 and 0).
0. 0 5
----------------------
6 | 0. 3 0
− 0
----------
0 3
− 0
--------------------------------
3 0
− 3 0
----------------------------------
0
Wich of the following powers is the smallest will give you brainleist
Answers
Answer:
C
Step-by-step explanation:
4^3= 64
3^4= 81
5^4= 625
6^3= 216