solve for substitution and elimination x+2y=9 and 2x-5y=-33 show your work

Question

Please help me! And please answer as soon as possible !!

Answer 1

Substitution method :

The system of equations are x + 2y = 9 and 2x - 5y = - 33.

Simplify equation (1) for x.

x = 9 - 2y.

Substitute x = 9 - 2y in equation (2) and solve for y.

2(9 - 2y) - 5y = - 33

18 - 4y - 5y = - 33

- 9y = - 33 - 18 = - 51

y = 51/9

y = 17/3.

Substitute y = 17/3 in x = 9 - 2y for x.

x = 9 - 2(17/3)

x = 9 - 34/3 = (27 - 34)/3

x = - 7/3.

Therefore, the solution is x = - 7/3 and y = 17/3.