solve by useing elimination7x − 8y = –3 7x − 4y = –19

Answer 1

To solve the system of equations by elimination, we can subtract the second equation from the first equation.

(7x - 8y) - (7x - 4y) = -3 - (-19)

Simplifying, we have:

-8y + 4y = -3 + 19

-4y = 16

Dividing both sides by -4, we get:

y = -4

Now, we can substitute this value of y back into one of the original equations to solve for x. Let's substitute it into the first equation:

7x - 8(-4) = -3

Simplifying, we have:

7x + 32 = -3

Subtracting 32 from both sides, we get:

7x = -35

Dividing both sides by 7, we have:

x = -5

Therefore, the solution to the system of equations is x = -5 and y = -4.