Question

Use the substitution method to solve the system of equations.

2x – 5y = –14
x – 2y = –5

Answer 1

x-2y+-5
x=2y-5 <-- plug that in to the other equation

2(2y-5)-5y=-14 then distribute to get,
4y-10-5y=-14
-y-10=-14, then add 10 to both sides
-y=-4, then divde by -1

y=4
plug into other equation
x=2(4)-5
x=8-3
x=5




so y=4 and x=5