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2 years ago

15

Directions - solve the liner system. enter your answer as an ordered pair. 2x + 3y = 31 y = x + 7

1 answer:

Leya [2.2K]2 years ago

8 0

(1) 2x + 3y = 31 y

(2) 2x + 3y = x + 7

(3) 31y = x + 7

(3) x = 31y - 7

(2) 2(31y - 7) + 3y = 31y - 7 + 7 ; 62y - 14 + 3y = 31y ; 34y = 14 ; y = 14/34 ; y = 7/17

(3) x = 31y - 7 ; x = 31*(7/17) - 7 ; x = (217 - 119)/17 = 98/17

x = 98/17 ≈ 5.76

y = 7/17 ≈ 0.41

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Question: Solve $-21 = -9 + \frac{2}{3}b$ .

<u>Step 1</u>: Simplify $\frac{2}{3}b$ to $\frac{2b}{3}$ .

$-21 = -9 + \frac{2b}{3}$

<u>Step 2</u>: Regroup terms.

$-21 = \frac{2b}{3} - 9$

<u>Step 3</u>: Add $9$ to both sides.

$-21 + 9 = \frac{2b}{3}$

<u>Step 4</u>: Simplify $-21 + 9$ to $-12$ .

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<u>Step 5</u>: Multiply both sides by $3$ .

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<u>Step 6</u>: Simplify $-12$ × $3$ to $-36$ .

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<u>Step 7</u>: Divide both sides by $2$ .

$-\frac{36}{2} = b$

<u>Step 8</u>: Simplify $-\frac{36}{2}$ to $-18$ .

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<u>Step 9</u>: Switch sides.

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~I hope I helped you :)~

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