Question

When solving the system of equations by graphing, what is the solution of 3x + 2y = 2 and 2x – y=6?

Answer 1

Answer:

answer B: (2,-2)

Step-by-step explanation:

First, write the equations on top of each other:

$3x+2y=2\\2x-y=6$

Then, multiply the the second equation by 2 so that we can use elimination of the y-variable:

$3x+2y=2\\2(2x-y)=2(6)\\\\3x+2y=2\\4x-2y=12$

Next, use elimination to find the value of "x":

$3x+2y=2\\+(4x-2y=12)\\\\7x+0=14\\7x=14\\\frac{7x}{7}=\frac{14}{7}\\x=2$

So, your x-value is 2.

Now, substitute your x-value into one of your equations, let's take the second equation, 2x-y=6:

$2x-y=6\\2(2)-y=6\\4-y=6\\4-4-y=6-4\\-y=2\\\frac{-y}{1}=\frac{2}{-1}\\y=-2$

Your y-value is -2.

With all your information gathered, you find that the solution to this system of equation is (2,-2).