Solve by Substitution -3x+2y=10 , -2x-2y=-5

Problem

{[−3*x+2*y=10],[−2*x−2*y=−5])

Solution

1. Isolate a variable in one of the equations. We will solve the second equation for y

−2*x−2*y=−5

−2*y=2*x−5

y=−x+5/2

2. Substitute the expression for y into the first equation:

−3*x+2*(−x+5/2)=10

3. Distribute and solve for x

−3*x−2*x+5=10

−5*x+5=10

−5*x=5

x=−1

4. Substitute the value of x back into the expression for y

y=−(−1)+5/2

y=1+5/2

y=7/2

Final Answer

(x,y)=(−1,7/2)

Want more problems? Check here!