Question

Part 1: Explain, in complete sentences, how you would use the substitution method to solve the following system of equations. (4 points) Part 2: Provide the solution to the system. (2 points) 2x + y = 5 3x – 2y = 25

Answer 1

y = 5-2x call it equation 1
now substitute this in the other equation
3x - 2(5-2x) = 25
3x -10 +4x = 25
7x =35
x = 5
now substitute this x in equation 1
y = 5-2(5)
y = -5