Question

Solve this system of equations: (picture is there)

List the solution (x,y) for this set of systems of equations and then explain how you found the solution.
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Answer 1

Explanation:

`(x...y = (2...4)|`

Answer 2

x = 2, y = 4

Explanation:

We can solve the system of equations using substitution. (We can't use elimination for a problem like this because there's no addition or subtraction in the first equation, and besides, it would make it longer.)

Replace the y value in [x = -y + 6] with "2x", because y = 2x.

x = -2x + 6

From there, we can solve the linear equation.

x = -2x + 6

add 2x to both sides

3x = 6

divide by 3

x = 2

From x, we can also figure out what y equals.

Replace the x value in [y = 2x] with "2", because x = 2.

y = 2*2

y = 4

x = 2 and y = 4