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Vinil7 [7]
2 years ago
5

SUBSTITUTION METHOD 8x+4y=15 x+y=3

Mathematics
2 answers:
ehidna [41]2 years ago
7 0

Answer:

x = 3/4 and 9/4

Step-by-step explanation:

Rewrite equations:

x+y=3;8x+4y=15

Step: Solvex+y=3for x:

x+y=3

x+y+−y=3+−y(Add -y to both sides)

x=−y+3

Step: Substitute−y+3forxin8x+4y=15:

8x+4y=15

8(−y+3)+4y=15

−4y+24=15(Simplify both sides of the equation)

−4y+24+−24=15+−24(Add -24 to both sides)

−4y=−9

\frac{-4y}{-4} =\frac{-9}{-4}

Step: Substitute \frac{9}{4} for y in x=−y+3:

x=−y+3

x = - \frac{9}{4} +3

x=\frac{3}{4} (Simplify both sides of the equation)

Answer:

x=\frac{3}{4} and y=\frac{9}{4}

zvonat [6]2 years ago
3 0

Answer:

(2.25, 0.75)

Step-by-step explanation:

x+y=3

subract x from both sides

y=x-3

subsitute y

8x+4(x-3)=15

distribute

8x+4x-12=15

combine like terms

12x-12=15

12x=27

divide

<u>x=9/4 or 2.25</u>

Substitute in one equation

2.25+y=3

<u>y=0.75 or 3/4</u>

Don't forget to check your work!

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2) You are told that there are 1800 eighth-grade classes in the state, and the average size of the classes is 26. That means you can assume that there are 1800 classes of 26 in the state.

Since you are told that Mr. Camp's class is representative of students in the state's 8th grade classes. That means in the state, for each class of 26, 17 students (the number we figured out in step 1) have fewer than two siblings!

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Answer: C) 30,600
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