Question

Solve using the substitution method
x-7y=19
5x=-2y-16

Answer 1

(-2,-3)

Explanation:

subtract -7y from both sides to get x = 7y + 19

plug in

5(7y + 19) = -2y - 16

distribute the 5

35y + 95 = -2y - 16

subtract 95 from both sides

35y = -2y - 111

add -2y to both sides

37y = -111

divide both sides by 37

y = -3

plug in the y to find the x

x = 7(-3) + 19

multiply 7 and -3

x = -21 + 19

subtract

x = -2

make into a coordinate

(-2, -3)

Answer 2

x - 7y = 19 multiply both sides by 5

5x - 35y = 95

Substitute 5x = -2y - 16:

(-2y - 16) - 35y = 95

(-2y - 35y) - 16 = 95 add 16 to both sides

-37y = 111 divide both sides by (-37)

y = -3

Put the volue of y to the first equation:

x - 7(-3) = 19

x + 21 = 19 subtract 21 from both sides

x = -2

Answer: x = -2 and y = -3 → (-2, -3)