Question

Which of the following (x,y) pairs is the solution for the system of equations x+2y=2 and -2x+y=16 ?

Answer 1

(-6, 4)

Explanation:

In this case, we have a system of linear equations. We can use the two equations to solve for x and y. In this case, I will solve with substitution

In the first equation, I subtract 2y on both sides and get that x = -2y +2.

Then, I will substitute that into the second equation. This gets me an equation: -2(-2y+2)+y = 16. If we simplify further, we get y = 4. We can substitute y = 4 into the first equation: x+2(4) = 2. x=-6.

Hence, the final answer is (-6, 4)