How do you find the solution set for y=6x-5 and y=-x+9?

1 Answer
Stefan V.
Aug 11, 2015

{(x = 2), (y = 7) :}

Explanation:

Your system of equations looks like this

{(y = 6x-5), (y = -x+9):}

Notice that y is said to be equal to two distinct expressions that depend on x, which can only mean that these expressions must be equal to each other.

6x-5 = -x + 9

Solve this equation for x

6x + x = 9 + 5

7x = 14 implies x= 14/7 = color(green)(2)

Pick any of the two original equations and find the value of y

y = 6 * (2) - 5

y = 12 - 5 = color(green)(7)

The solution set to this system of equations is

{(x = 2), (y = 7) :}

Related questions
See all questions in Systems Using Substitution
Impact of this question
5960 views around the world
You can reuse this answer
Creative Commons License