Solve each system of equations 12) -2x + 6y = 30 5x + 2y = 10 I really need help.

Question

Solve each system of equations
12) -2x + 6y = 30
5x + 2y = 10

I really need help.

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Audrey 1 week 2021-09-09T09:33:35+00:00 1 Answer 0

Answers ( )

    0
    2021-09-09T09:35:14+00:00

    Answer:

    (0,5)

    Step-by-step explanation:

    -2x+6y=30

    5x+2y=10

    I’m going to use elimination.

    I’m choosing this method because both equations are in the same form.

    They are in the form ax+by=c.  

    So in order to use elimination, I need one of my columns that contain the variables to contain opposites. Neither one of my columns with the variables have that.  Example -2x and 5x are not opposites and 6y and 2y are not opposite.

    I’m going to multiply both sides of equation 2 by -3.  This will help me to achieve the opposites in a column.

    So the system becomes:

    -2x+6y=30

    -15x-6y=-30

    ———————If we add the columns you will see that the variable y get’s eliminated. Let’s do that.

    -2x+6y=30

    -15x-6y=-30

    ——————-Adding!

    -17x+0y=0

    -17x     =0

        x      =0

    So using one of the equations (you choose; doesn’t matter which one you pick) along with x=0, I’m going to find y.

    I choose equation 2.

    That is I choose 5x+2y=10 along with x=0 to find y.

    5x  +2y=10 with x=0

    5(0)+2y=10

    0   +2y =10

           2y=10

             y=10/2

             y=5

    The solution is (x,y)=(0,5).

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