Solve the system of equations and choose the correct ordered pair 4x - 2y + 7 = 33 and 5y=3x-30

1. Solve for x in 4x-2y+7=33

4x-2y+7=33

4x+6=33+2y

4x=33+2y-7

4x=2y+26

x = (2y+26) / 4

x = (2 (y+13)) / 4

x = (y+13) / 2

2. Substitute x = (y+13) / 2 into 5y=3x-30

5y=3x-30

5y=3 * (y+13) / 2 - 30

5y = (3 (y+13)) / 2 - 30

3. Solve for y in 5y = (3 (y+13) / 2 - 30

5y = (3 (y+13)) / 2 - 30

10y=3 (y+13) - 60

10y=3y+39-60

10y=3y-21

10y-3y=-21

7y=-21

y=-21/7

y=-3

4. Substitute y=-3 into x = (y+13) / 2

x = (y+13) / 2

x = (-3+13) / 2

x=5

5. Therefore,

x=5 and y=-3

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