Choose the correct description of each system of equations.
3x + y = 3
x - 2y = 4
Answers
Since we have a unique value of x and y, it shows that the system of the equation is consistent and independent.
Given the system of equation expressed as:
3x + y = 3
x - 2y = 4
Solve simultaneosly;
3x + y = 3 ............. 1 * 1
x - 2y = 4 ...............2 * 3
_________________________
3x + y = 3
3x - 6y = 12
Subtract
y-(6y) = 3 - 12
7y = -9
y = -9/7
Substitute y = -9/7 into the equation to get x
x - 2y = 4
x - 2(-9/7) = 4
x + 18/7 = 4
x = 4 - 18/7
x = 3/7
Since we have a unique value of x and y, it shows that the system of the equation is consistent and independent.
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Related Questions
Need help, look at attachment
Answers
Answer:
angle 1 and angle 8 are co exterior angles. so, their sum is equal to 180°.
28°+ angle 8 =180°
angle 8=180°-28°
angle 8=152°
What is the missing value?
Answers
Answer:
1
Step-by-step explanation:
1 : -7
2 : -5 ( -7 + 2 )
3 : -3 ( -5 + 2 )
4 : -1 ( -3 + 2 )
5 : 1 ( -1 + 2 )
Hopefully this helps!
Brainliest please?
Claire has 15 green beads eight blue beads and four yellow beads if she puts them onto three strings equally how many beats are on each string
Answers
Answer:
9 beads on each string
Step-by-step explanation:
A 2-column table with 8 rows. Column 1 is labeled Student with entries 1, 2, 3, 4, 5, 6, 7, 8. Column 2 is labeled Mean Word Length with entries 7.1, 4.5, 6.9, 5.2, 5.0, 4.7, 6.1, 4.5.
Given this data, what is the range of the average word lengths?
Is the variation between sample means large or small?
Answers
Answer: 2.6/small
Step-by-step explanation:
Answer:
its 2.6 and small
Step-by-step explanation:
The person is right im just here to confirm xd
what are the rules for adding and subtracting negatives and positives?
Answers
Answer:
Adding positive numbers results in a higher number
Add negative numbers result in a low number
Adding them together just brings the integer closer to 0
Answer:
When adding positive numbers, count to the right. ------>
When adding negative numbers, count to the left. <-------
When subtracting positive numbers, count to the left. <-------
When subtracting negative numbers, count to the right. ------->
Link to Khan Academy to help you better understand: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-sub-neg-intro/v/adding-and-subtracting-negative-number-examples
Khan Academy is a great place to get helpful videos for math homework. Hope this helps (:
You deposit $6500 in a savings account that has a rate of 9%. The interest is
compounded semiannually. How much money will you have after fifteen years?
Round to the nearest cent.
Answers
Answer:601.85
Step-by-step explanation:
three friends are buying seashells at the gift shop on the beach. Melanie
buys 2 seashells for $0.80
Answers
Answer:
if you need to know the total, it would be $1.60 :)
After eating dinner at a restaurant, Brent's bill before tax is $24.00. The sales tax rate is 8%. Brent decides to leave a 30% tip for the waiter based on the pre-tax amount. How much money will Brent pay total, including tax and the tip?
Answers
Sales tax is $1.92. The tip he will give is $ 7.20. In total he will pay $33.12
Help how do you do this?
Solve for X: -3X + 2 + 5X - 3 = 8 + 9
Answers
Answer:
9
Step-by-step explanation:
-3x+2+5x-3=8+9
2x+-1=17
2x=18
so x equals 9
-3(x+4)-8x>21 solve this equation
Answers
Answer:
the answer:
Step-by-step explanation:
pls, crown or star. <3
Answer:x<-3
Step-by-step explanation:
-3(x+4)-8x>21
-3x-12-8x>21
-11x-12>21
-11x>33
x<-3
quincy has $37 in a savings account
Answers
Answer:
The 2nd answer would be the correct option.
Step-by-step explanation:
Hope this helps:) Also can I have brainliest if possible:) It is ok if you can not.
Is -1/3 - 4/5 positive, negative, or zero?
HELP PLS ILL GIVE BRAINLIEST FOR THE CORRECT ANSWER
Answers
Answer:
Negative, -17/15
Step-by-step explanation:
What is the equation of a line that is parallel to the line y = 5x – 1 and passes through the point (4, –3)? A. y = 5x + 19 B. y = –5x + 17 C. y = 5x – 23 D. y = –15x – 115
Answers
Answer:
y = 5x - 23
Step-by-step explanation:
Slope: 5
Point (4, - 3)
y-intercept: -3 - (5)(4)
= -3 -20 = -23
y = 5x - 23
Multiply. Enter your answer in scientific notation.
(1.6 x 10^*5)(6.7 x 10^*12
Answers
Answer:
1.072 x 10^18
Step-by-step explanation:
(1.6 x 10^5) x (6.7 x 10^12) = 1.072e18 = 1.072 x 10^18
Find the difference between (4, -2) and (-2, 3) THE ANSWER IS 7.8 BUT PLEASE EXPLAIN HOW YOU GOT IT!
HELP ASAP (I'll mark brainliest if you answer within the next 5 mins!!)
Answers
Answer:
√61
Step-by-step explanation:
(4,-2) - (-2,3) = (6,-5)
6^2 + (-5)^2 = 61
square root both sides to get 7.8
A line segment has endpoints (0,4) and (5,6).
What are the coordinates of the midpoint?
A. (5/2, -5)
B.(0,6)
C. (3,9)
D. (5/2, 5)
Answers
Answer:
D.
Step-by-step explanation:
because if its 0.6 then the line segment of 0.4 divided by 5.6 is you're mom
60 tenths as a decimal
Answers
Answer:
6
Step-by-step explanation:
60 tenths :
60*1/10 = 6
Answer:
6
Step-by-step explanation:
If you divide 60 by 10, you will get 6.
Think like this...
10 tenths = 1
20 tenths = 2
If you get all the way to 6, you'll get 6.
-kiniwih426
Determine the constant of proportionality (k) represented in the graph below
Answers
Answer:
k = 2
Step-by-step explanation:
y = kx
4 = 2k
k = 2 (slope)
What is the equation of the line parallel to y = -5x + 6 and passes through the point (6,-8)?
Answers
Answer:
y = -5x + 22 is the equation of our parallel line
Step-by-step explanation:
remember a parallel line will have the same slope.
So let's begin by using the equation above and substituting the points.
[tex]y = - 5x + b \\ - 8 = - 5(6) + b \\ - 8 = - 30 + b \\ 30 - 8 = b \\ b = 22[/tex]
therefore our parallel line would be
[tex]y = - 5x + 22[/tex]
write the equation of a line with slope 2 and y-intercept -1. y=
Answers
Answer:
y = 2x - 1
Step-by-step explanation:
PLzzzzzzz help and give an actual answer plzzzzzzzzzzzzzzzzzzzzz its for an exam and i need it really badd
Answers
A set of four stars form the shape of a rectangle in space. The length of the rectangle is approximately 510,000,000 miles, while the width of the rectangle is approximately 366,000,000 miles. What is the approximate area of the rectangle?
Answers
Answer:
The answer is 89
Step-by-step explanation:
I hope you have a great day and please mark me bye(:
Answer: 98873
Step-by-step explanation:
Help me please I don’t understand this and it is due tonight
Answers
Answer:
y = 5/3x + 31/3
=
5
3
x
+
31
3
Step-by-step explanation:
In ΔRST, r = 850 cm, s = 250 cm and t=940 cm. Find the measure of ∠S to the nearest 10th of a degree.
Answers
Answer:
∠s=15.0 *
Step-by-step explanation:
Today only, a desk is being sold at a 33% discount. The sale price is $603.
What was the price yesterday?
Answers
The original price of the desk before discount was $900.
What is discount?A discount is the reduction in the marked price of items, discounts are generally given to customers to attract them towards some items or on sale.
Given that a desk is at sell today, the shop is offering 33% discount on it, which will give a selling price of $603.
We need to find the desk's yesterday price,
So, let the yesterday price be x,
Therefore,
100 - 33 = 67
Therefore,
67% of x = 603
x = 603 × 100 / 67
x = 900
Hence the original price of the desk before discount was $900.
Learn more about discount click;
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What is the value of 3/8 X -4.5 when X= 0.4
Answers
Answer:
-4.35
Step-by-step explanation:
3/8 X -4.5
3/8 (0.4) - 4.5
0.15 - 4.5
= -4.35
Answer:
-4.35
Step-by-step explanation:
You multiply three eights times .4 which gives you .15, then you subtract that from 4.5 which gives you 4.35
Explain why 0.02 x 0.3 = 0.006. Answer in at least 2 complete sentences.
Answers
Answer:
.02*.03=.006 because when you multiply decimals after you get your answer you need to move the decimal point over 3 spaces. You do this because when you move the decimal point out three to multiply it you have to move it back in three after you get your solution, or else it is incorrect.
Step-by-step explanation:
can somebody please help mee!!!!
Answers
Answer:
[tex]first \: w \: do \\ \\ 180 - 154 \\ \\ = 26 \\ \\ second \: we \: do \: \\ \\ x + 10 + x + 26 = 180 \\ \\ 2x + 36 = 180 \\ \\ 2x = 180 - 36 \\ \\2 x = 144 \\ \\ x = \frac{144}{2} \\ \\ x = 72[/tex]
Answer:
x = 72Step-by-step explanation:
The exterior angle is the sum of non-adjacent interior angles:
x + x + 10 = 1542x = 154 - 102x = 144x = 144/2x = 72The other interior angle is 82°
A number H divided by two is more than -5
Answers
Answer:
h/2 > -5
Using the keywords "a number h", "divided by-", and "more than" we can determine the equation.
Decimal form of...
1.6/8
2.23/46
3.2/5
4.1/3
5.23/99
(pls understand the question)
(￣▽￣*)ゞ
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Solution ~
Question : 1
[tex] \dfrac{6}{8} [/tex][tex] \dfrac{3}{4} [/tex][tex]0.75[/tex]Question : 2
[tex] \dfrac{23}{46} [/tex][tex] \dfrac{1}{2} [/tex][tex]0.5[/tex]Question : 3
[tex] \dfrac{2}{5} [/tex][tex]0.4[/tex]Question : 4
[tex] \dfrac{1}{3} [/tex][tex] 0. \bar3[/tex]3 is repeating after decimal.
Question 5 :
[tex] \dfrac{23}{99} [/tex][tex]0. \bar2 \bar3[/tex]23 is repeating after decimal.