Question

Consider the system of equations. y = −2x + 4 y = − 1/3x − 1

Answer 1

Hey there! I'm happy to help!

We have two values for y. Since y=y, this means that −2x + 4 and − 1/3x − 1 are equal as well, so we can put them in an equation and solve for x.

−2x + 4 = − 1/3x − 1

We subtract 4 from both sides.

-2x=-1/3x-5

We add 1/3 x to both sides.

-5/3x=-5

We divide both sides by -1 2/3.

x=3

Now, we plug this into one of the original equations to find y.

y=-2(3)+4

y=-6+4

y=-2

Therefore, the solution is (3,-2) or x=3 and y=-2.

I hope that this helps! Have a wonderful day! :D