Question

how would use the substitution method to solve the following system of equations.

Provide the solution to the system.

2x + y = 5
3x – 2y = 25

Answer 1

solve for y in the first equation:
y=5-2x
plug the value of y into the 2nd equation:
3x-2(5-2x)=25

Answer 2

Solve for x in the 2nd equation:
3x-10+4x=25
7x=35
x=5

Answer 3

Plug the value of x back into the first equation and solve for y:
y=5-2x
y=5-2*5
y=5-10=-5