Question

Given the system of linear equations. -x+y=3 and 2x+y=6 Part A: Use substitution to find the solution to the systems of equations. Include all of your work in your final answer. Part B: Algebraically verify your answer to Part A. Include all of your work in your final answer.

Answer 1

-x+y=3
y=x+3

2x + x + 3 =6
3x + 3 = 6
3x = 3
x = 1

-1 + y = 3
y = 4

2(1) + y = 6
2 + y = 6
y = 4

Solution: (1, 4)