Question

(d) 8x + 3y = -4 5x + 2y = 6​

Answer 1

Answer:

x = -26, y = 68

Step-by-step explanation:

Hello!

We first have to isolate x or y in one of the equations

5x + 2y = 6

Subtract 5x from both sides

2y = 6 - 5x

Divide both sides by 2

y = 3 - 5/2 x

Now we can put this into the other equation to solve for x

$8x + 3(3 - \frac{5}{2} x) = -4$

Expand the 3

8x + 9 - 15/2 x = -4

Combine like terms

1/2 x + 9 = -4

Subtract 9 from both sides

1/2x = -13

Multiply both sides by 2

x = -26

Now we can put this into either of the equations to find y

5(-26) + 2y = 6

Simplify

-130 + 2y = 6

Add 130 to both sides

2y = 136

Divide both sides by 2

y = 68

The answer is x = -26 and y = 68

Hope this helps!