Solve using the substitution method

x-7y=19

5x=-2y-16

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)

(-2,-3)

Step-by-step 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)