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Airida [17]
3 years ago
7

Given the system of equations, what is the solution?

Mathematics
1 answer:
Elena L [17]3 years ago
7 0

Answer:

{(-34/7, -16/7)}

Step-by-step explanation:

Rearrange values, multiply to solve for x.

(5) 2y = 3x + 10

(-2) 5y = 4x + 8

Solve for x.

10y = 15x + 50 ↓

-10y = -8x -16

Combine and evaluate.

0 = 7x + 34

Subtract 34 from both sides.

7x = -34

Divide both sides by 7.

x = \frac{-34}{7}

Plugin x value into either equation to solve for y.

2y = (3 × \frac{-34}{7}) + 10

2y = \frac{-102}{7} + 10

2y = \frac{-32}{7}

y = \frac{-16}{7}

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