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28 February, 13:13

Solve each system of equations using substitution. Show all work.

1) y = 2x - 5

4x - y = 7

2) 2x - 3y = 12

x = 4y + 1

3) y = 5 - x

x - 4y = 10

+1
Answers (1)
  1. 28 February, 15:50
    0
    1.

    y=2x-5

    sub that for y

    4x - (2x-5) = 7

    distribute

    4x-2x+5=7

    2x+5=7

    2x=2

    x=1

    sub back

    y=2x-5

    y=2 (1) - 5

    y=2-5

    y=-3

    (1,-3)

    2. x=4y+1

    sub that for x

    2 (4y+1) - 3y=12

    8y+2-3y=12

    5y+2=12

    5y=10

    y=2

    sub back

    x=4y+1

    x=4 (2) + 1

    x=8+1

    x=9

    (9,2)

    3. y=5-x

    sub that for y

    x-4 (5-x) = 10

    x-20+4x=10

    5x-20=10

    5x=30

    x=6

    sub back

    y=5-x

    y=5-6

    y=-1

    (6,-1)

    soluitons

    1. (1.-3)

    2. (9,2)

    3. (6,-1)
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