Question

Part 1: Explain, in complete sentences, how you would use the substitution method to solve the following system of equations.
Part 2: Provide the solution to the system.

5x – y = –2
10x – 3y = –7

Answer 1

5x - y = -2 -------(1)
10x - 3y = -7 -----(2)
We will first make y the subject of the equation (1):
y = 5x + 2 -------(3)
Substituting (3) into (2):
10x - 3(5x + 2) = -7
10x - 15x - 6 = -7
-5x = -1
x = -1/5
Substitute x = -1/5 into (3)
y = 5(-1/5) + 2
y = 1
Hence, the solution is x = -1/5, y =1.