Answer:
[tex] \huge{ \boxed{ \boxed{ \sf{ \red{ \sf{x = 1}}}}}}[/tex]
Step - by - step explanation :
[tex] \underline{ \underline{ \sf{Solution}}} : [/tex]
USING ELIMINATION METHOD :
[tex] \sf{ - 3x - 9y = - 12}[/tex] ••••••• equation ( i )
[tex] \sf{ - 3x + 7y = 4}[/tex] ••••••• equation ( ii )
Subtracting equation ( ii ) from ( i )
Note that while subtracting equation ( ii ) from ( i ) , sign of each term of equation ( ii ) changes and hence becomes 3x - 7y = -4.
[tex] \sf{ \cancel{ - 3x} - 9y = - 12}[/tex]
[tex] \sf{ \cancel{3x} - 7y = - 4}[/tex]
_____________________
➺ [tex] \sf{ - 16y = - 16}[/tex]
➺ [tex] \sf{ \frac{ - 16y}{ - 16} = \frac{ - 16}{ - 16}} [/tex]
➺ [tex] \sf{y = 1}[/tex]
The value of y is 1. Since , we are asked to find the value of x , substituting the value of y in equation ( i) , we get :
➺ [tex] \sf{ - 3x - 9 \times 1 = - 12}[/tex]
➺ [tex] \sf{ - 3x - 9 = - 12}[/tex]
➺ [tex] \sf{ - 3x = - 12 + 9}[/tex]
➺ [tex] \sf{ - 3x = - 3}[/tex]
➺ [tex] \sf{ \frac{ - 3x}{ - 3} = \frac{ - 3}{ - 3}} [/tex]
➺ [tex] \sf{ x = \boxed{ \bold{ \red{ \sf{1}}}}}[/tex]
Hence , the value of x is 1 .
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☞ [tex] \underline{ \sf{Extra \: Info}} : [/tex]
There are many methods to solve such simultaneous equations. They are :
Graphical method : In this method , we find a few pairs of solutions to each of two given equations. The pairs of solutions of each equation are plotted in a graph and by joining them, two separate straight line lines are obtained. The coordinates of the point of intersection of two straight lines are the solutions to the given equation.Elimination method : In this method, we add or subtract the given equations to eliminate one of the two variable by making their coefficients equal. Then , a single equation with one variable so obtained is solved to find the value of the variable. The value of the variable is substituted to any one equation to find the value of the eliminated variable.Substitution method : In this method , a variable is expressed in terms of another variable from one equation and it is substituted in the remaining equations.⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆
✑ Learn more :
Solve system of equations using elimination method :
https://brainly.com/question/20160304
What is the substitution method ?
https://brainly.com/question/15936865
Hope I helped ! ツ
Have a wonderful day / night ♡
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Someone help with this please
Answer: B
Step-by-step explanation: B is in slope-intercept form
If 10x +5 = 100, is x greater than 10 or less than 10? Without solving the equation, explain how you
know.
Answer:
Step-by-step explanation:
X is less than 10 because you have the plus in the equation and so it as to be less than ten so that when you multiply it by 10 it equals less than 100. I don’t know if my explanation makes sense but I hope it helps.
Milo's Ice Cream Factory sold more than 45 waffle cones yesterday. Which of the following inequalities represents the number of waffle cones Milo's Ice Cream Factory sold yesterday?
A.
x 45
D.
x < 46
Answer:
I believe the answer would be x<46
Answer:
I'm fairly sure that it would be D, or the final answer.
Step-by-step explanation:
Since he sold more than 45 waffle cones, x would not equal 45. This is why D is correct. Hope it helps!
A: x/8=3/4
B: 2/5=x/40
C: 1/8=x/40
D:x/10=12/15
PLS HELP ME it's due today and I suck at math!!! I'll make Brainliest (also I know it's a bit hard to see)
Answer:
B. 8/10
Step-by-step explanation:
Answer:
The answer is D. 4/13
Step-by-step explanation:
If the measures of two angles of a triangle are 102° and 27°, what is the measure of the third angle?
The measure of the third angle isº
Step-by-step explanation:
therefore the third angle is 51 degrees
In a survey of 2,800 people who owned a certain type of car, 1,540 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
55%
Step-by-step explanation:
Calculation for What percent of the people surveyed were satisfied with the car
Percentage of people satisfied=1,540 people/2,800 people
Percentage of people satisfied=0.55*100
Percentage of people satisfied=55%
Therefore the percent of the people surveyed were satisfied with the car is 55%
I'm crying I have to get this done in like 30 minutes or else my mom is literally gonna beat my a.ss please
First equation: t=b-4
Second equation: b+t=348
Since t is in terms of b from the first equation, this expression can be substituted into the second equation where t appears. Write an equation that shows this substitution.
Type the equation:
Answer:
equation: b+(b-4)=348
Step-by-step explanation:
B+t=348
b+ 1(b-4)=348
b +b -4=348
this is if u want what b is
2b-4=348
2b-4+4=348+4
2b= 352
2b÷2 = 352÷2
b=176
What is the x intercept of the line below?
Answer:
i think it is -5
Step-by-step explanation:
-5
Solving Inequalities, HELP PLEASE.!!
hjukhvfd816
11/03/2017
Mathematics
Middle School
answered
The Latino Rams at Englewood High school are seeking to raise at least $750 in a fundraiser to pay for their end-of-the year field trip to Islands of adventures.
Answer:
x ≥ $750
Step-by-step explanation:
Which number line represents the solutions to \X – 5| = 1?
Answer:
Second number line represents the [X-5]=1.
Step-by-step explanation:
Given : [X-5]=1 .
To find : Which number line represents the solutions to [X-5]=1.
Solution : We have given that [X-5]=1.
We can se the value x-5 is inside the modulus it may be positive or negative.
So, we will do it by both cases.
1) (x - 5) = 1
On adding by 5 both sides.
x = 1+5 = 6
x = 6.
2) if -(x-5) = 1
remove parenthesis
-x +5 = 1
On subtracting by 5 both side
-x = -4
On dividing by -1 both side
x = 4.
So , x = 4, 6.
Therefore , the second number line represents the [X-5]=1.
6 cm
8 cm
what’s the hypotenuse
Answer:
10 cm
Step-by-step explanation:
This is the Pythagorean triple 3, 4, 5, in which the two legs are multiples of 3 and 4, while the hypotenuse is a multiple of 5. Observing the given numbers it can be deduced that the second multiple of 5 is what is needed to complete this triple, therefor the hypotenuse must be 10 cm.
plz help quick will give brainly
What is the difference between the opposite of 12 and the absolute value of 12? Use a number line to explain.
Answer:
Opposite 12= -12
Absolute value of 12: Just -12.
Step-by-step explanation:
I don't know.
Which statements are true about the function f(x) = –|x| – 2? Check all that apply.
The parent function and this function open in the same direction.
The parent function and this function have the same range.
The parent function and this function have the same domain.
The range of the function is all real numbers less than or equal to –2.
The domain of the function is all real numbers greater than or equal to –2.
There are no values from the domain of the parent function that are also in the domain of this function.
Answer:
a c d f
Step-by-step explanation:
Answer:
its (c) and (d)
Step-by-step explanation:
Simplify: 3x + 4y + 7x - 2y
Answer:
10x+2y
Step-by-step explanation:
combine like terms
Answer:
Step-by-step explanation:
3x + 4y + 7x - 2y=3x + 7x +4y - 2y
10x + 2y
If x = -1, then which of the following inequalities makes a true statement?
A. -4x + 9 > 20
B. -4x – 5 < -15
C. -3x + 15 ≤ 18
D. -5x – 15 ≤ -22
Answer:
It is C
Step-by-step explanation:
Move all terms that don't contain x to the right side and solve.
2x+3x+5=x+25 taking a math quiz
Answer: x=5
Step-by-step explanation:
Answer:
Step-by-step explanation:
5x+5=x+25
Or,6x=30
Or,x=5
simplify if possible 3t+2g-t-3g
Answer:
2t-g
Step-by-step explanation:
Collect like terms
3t-t= 2t
2g-3g= -g
2t-g
ANSWER ME 2 QUESTION.....URGENT....SO PLZZ FASTLY SND ME THE ANSWER....
FAST
FAST
FAST
FAST
FAST
FAST
FAST
FAST
FAST
FAST
FAST
Answer:
whats up , whats the question ?
Step-by-step explanation:
y = -3x - 5 ||| y = 9x + 7
A. (1,2)
B. (1,-2)
C. (-1,2)
D. (-1,-2)
E. No solution
F. Infinite solutions
PLEASE HELP ITS DUE TODAY
Answer:
d. (-1,-2)
Step-by-step explanation:
-3x-5=9x+7
-5=12x+7
-12=12x
-1=x
y=-3x-5
y=-3(-1)-5
y=3-5
y=-2
Please help, I have no clue what I’m doing
Answer: x= negative 6
if thats what its asking for
Step-by-step explanation:
A farmer wants to fence in a square pasture for his sheep. The length of one side of the pasture is represented by ^2^3. What term represents the area of the pasture?
Answer:
4x^6
Step-by-step explanation:
Area of the square pasture = L² where:
L is the
length of one side of the pasture
Given
L = 2x³
Area of the pasture = (2x³)²
Area of the pasture =2x³•2x³
Area of the pasture = 4x^{3+3}
Area of the pasture = 4x^6
Hence the area of the pasture is 4x^6
Help! Show work! Triangle PQR ≅ Triangle XYZ
PQ = 3a + 4 and XY = 5a – 12. Find a and PQ.
Answer:
a= 8 and PQ= 28
Step-by-step explanation:
since triangle XYZ and triangle PQR are congruent, we will write the equation like this:
PQ=XY
3a+4= 5a—12
3a—5a= —12—4
—2a= —16
a= 8
SUBSTITUTE THE VALUE OF A IN THE EQUATION TO GET THE VALUE OF PQ
PQ= 3a+4
PQ= 3(8)+4
PQ= 24+4
PQ= 28
Is 15625/1000000 between -1 and 0??
Answer:
no
Step-by-step explanation:
It would be like 0.(something) meaning it would be more than 0
Please hurry, I have to turn this in Today. I’ll be posting more questions on it.
Answer:
24 cm square
Step-by-step explanation:
Formula: ab/2. ( a* b = leg * leg)
6*8/2. (formula)
48/2 (simplify)
24 cm square ( answer)
Accuracy not garunteed
The tip for excellent service in a restaurant is $25 for every $100 of the meal. What is the total bill (cost of meal plus tip) for a $75 meal?
A. $25
B. $93.75
C. $125
D. $100
The sum of two numbers is 55. One number is 4 times as large as the other. What are the numbers?
Larger number:
Smaller number:
Answer:
Larger number: 29.5
Smaller number: 25.5
A collect call costs $5.99 to connect plus 99 cents per minute. What is the cost of a 6 minute call?
Answer:
$11.93
Step-by-step explanation:
You can write an equation to represent this scenario, where x is the number of minutes spent on the call and y is the total cost of the call.
[tex]y=0.99x + 5.99[/tex]
Plug in 6 for x:
[tex]y=0.99(6)+5.99[/tex]
Multiply 6 x 0.99, representing the fact it costs 99 cents per each minute spent on the call:
[tex]y=5.94+5.99[/tex]
Add the sum of the $5.99 cost to connect the call, plus the charge ($5.94) for spending six minutes:
[tex]y=11.93[/tex]
Your answer is $11.93!
help please need this answer quickly!!
Answer:
m<4 = 83
m<1 = 97
Step-by-step explanation:
bduruhrie
The population of an endangered bird was about 230,000 in 2001. The equation y= 200,000(0.75)^x describes the bird la population, let x represent the number of years since 2001. Using the equation, how many birds will there be in 2021?
Answer:
634
Step-by-step explanation:
The population of the birds in 2001 = 230000
From 2001 to 2021 = 20 years
Given:
y = 200000[tex](0.75)^{x}[/tex]
where x is the number of years since 2001.
The population of the birds after 20 can be determined by;
y = 200000[tex](0.75)^{20}[/tex]
= 200000(3.171211939 x [tex]10^{-3}[/tex])
= 634.2424
y = 634
Thus, there would be 634 endangered birds in 2021.