Solve the following system by the substitution method. Show your work. {2x−7y=12 −x+3.5y=−6

Question

Solve the following system by the substitution method. Show your work.

{2x−7y=12
−x+3.5y=−6

in progress 0
Ximena 2 weeks 2021-11-20T14:01:06+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-11-20T14:02:40+00:00

    Answer:

    see the explanation

    The system has infinity solutions

    Step-by-step explanation:

    we have

    2x-7y=12 —-> equation A

    -x+3.5y=-6

    isolate the variable x

    x=3.5y+6 —-> equation B

    Solve by the substitution method.

    substitute equation B in equation A

    2(3.5y+6)-7y=12

    solve for y

    7y+12-7y=12\\12=12

    The system has infinity solutions

    That means The equation A and equation B are the same line

    Verify

    we have

    2x-7y=12 —-> equation A

    -x+3.5y=-6 —-> equation B

    Multiply by -2 both sides equation B

    (-2)(-x)+(-2)(3.5y)=-6(-2)

    2x-7y=12

    so

    Equation A and equation B is the same line

    The system has infinity solutions

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )