Question

4x +7y=32
-4x +y =32

Answer 1

Let's solve this system of equations step by step:

The given equations are:

1. 4x + 7y = 32

2. -4x + y = 32

If we add these two equations together, we get:

(4x - 4x) + (7y + y) = 32 + 32

0 + 8y = 64

8y = 64

Now, divide both sides by 8 to solve for y:

y = 64 / 8

y = 8

Now, let's substitute y = 8 into the first equation to solve for x:

4x + 7*8 = 32

4x + 56 = 32

4x = 32 - 56

4x = -24

Now, divide both sides by 4 to solve for x:

x = -24 / 4

x = -6

So, the solution to the system of equations is x = -6 and y = 8.