Algebra 2

Solve by substitution

-7x + y=1
7x- 6y =-6

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  1. from 1st eqn ... y - 1 = 7x

    substitute for 7x in the 2nd equation

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  2. Step 1:
    Solve -7x + y = 1 for y.
    Do this by adding 7x to both sides.
    -7x + y + 7x = 1 + 7x
    y = 7x + 1

    Step 2: Substitute 7x + 1 for y in 7x - 6y = -6
    7x - 6y = -6
    7x - 6(7x + 1) = -6
    -35x - 6 = -6
    -35x - 6 + 6 = -6 + 6
    -35x = 0
    -35x / -35 = 0 / -35

    X = 0.

    Step 3: Substitute 0 for x in y = 7x + 1 (the original equation.
    y = 7x + 1
    y = 7(0) + 1
    Y = 1

    Therefore x = 0 and y = 1

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  3. -7x + y=1
    7x- 6y =-6

    add the two equations, and the x vanishes, leaving
    -5y = -5
    y = 1
    as above

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