Question

Part 1: Explain, in complete sentences, how you would use the substitution method to solve the following system of equations. (3 points)

Part 2: Provide the solution to the system. (1 point)

2x – y = 5
x + 2y = 15

Answer 1

first rearrange first equation to get y in terms of x:
2x = y + 5
y = 2x - 5
Now substitute y = 2x-5 in second equation:
x + 2(2x-5) = 15
x + 4x - 10 = 15
5x = 15+10 = 25
x = 5
Now plug x = 5 into the first equation to find value of y:
2(5) - y = 5
y = 10-5 = 5

solution set is x=5,y=5

Answer 2

Thanks, i appreciate your help