Question

Solve for x and y. Correct answer gets brainliest

Answer 1

Answer:

x = - 5, y = - 6

Step-by-step explanation:

Given the 2 equations

7x - 4y = - 11 → (1)

7x + 4y = - 59 → (2)

Adding the 2 equations term by term will eliminate the term in y

14x = - 70 ( divide both sides by 14 )

x = - 5

Substitute x = - 5 into either of the 2 equations and solve for y

Substituting into (2)

7(- 5) + 4y = - 59

- 35 + 4y = - 59 ( add 35 to both sides )

4y = - 24 ( divide both sides by 4 )

y = - 6

Thus x = - 5 and y = - 6

Answer 2

Answer:

x = -5

y = -6

Step-by-step explanation:

Let's take the top equation.

7x - 4y = -11

and solve it for x.

7x - 4y = -11

7x = 4y - 11

x = $\frac{4y - 11}{7}$

Now we can substitute it in to the other equation.

7x + 4y = -59

7($\frac{4y-11}{7}$) + 4y = -59

Now solve this equation.

4y - 11 + 4y = -59

8y - 11 = -59

8y = -48

y = -6

Then substitute negative 6 into the first equation.

7x - 4(-6) = -11

7x -(-24) = -11

7x = 35

x = -5