solve the system using the substitution method
2x+3y=5 and x-5y=9
2x + 3y = 5
x - 5y = 9
Use the second equation to solve for x in terms of y.
x - 5y = 9
x = 5y + 9
Substitute that into the first equation.
2x + 3y = 5
2(5y + 9) + 3y = 5
10y + 18 + 3y = 5
13y = -13
y = -1
Use that in the second equation.
x - 5y = 9
x - 5(-1) = 9
x + 5 = 9
x = 4
Back to the first equation to check the answer.
2x + 3y = 5
2(4) + 3(-1) = 5
8 - 3 = 5
5 = 5
x = 4 and y = -1