Given the equations 2x + 2y = 16 and 4x - 3y = - 3, what are the values of x and y?

Steps:

1. Put 2x + 2y=16 into slope-intercept form

2. Subtract 2x on both sides

2y = - 2x + 16

3. Divide by 2 on both sides

Y = - x + 8

4. Substitute the y in 4x - 3y=-3 for - x + 8

4x - 3 (-x + 8) = - 3

5. Multiply everything in parentheses

4x + 3x + (-24) = - 3

7x + (-24) = - 3

6. Add 24 on both sides

7x=21

7. Divide by 7

8. X = 3

9. Substitute the x for a 3 in one of the equations

Y=-x + 8

Y = - 3 + 8

Y=5

10. Your answers are

X = 3 Y = 5