Question

Haley wrote a new system by replacing one equation of the original system with the sum of that equation and a multiple of the other equation.

Haley found the solution to a system by multiplying one equation to eliminate a variable. The result of her multiplication is shown below. Haley found the solution by adding the two equations on the right, eliminating the x-term, and solving for the y-term.

2x + 10y = 1 → 2x + 10y = 1

–x + 2y = 3 → –2x + 4y = 6

Which shows Haley’s new system and verifies that it has the same solution as the original system?

Answer 1

^ original system