Pre-Algebra

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Can someone show me how to answer these questions step-by-step? Thanks!

Solve the equation for y in terms of x

1.2x + 7= y

2. x- 2/3y= 3

3.-12x + 3y = 48

Give any three ordered pairs that are solutions of the equation

4. -1/4y - x =0

5. 5x - y= -5

-MC

  • Pre-Algebra -

    to solve for y in terms of y just set the equation equal to y. Then divide everything by the coefficiant of y.

    #1) 2x+7=y (already correct)

    #2) x-(2/3)y=3
    x-3=(2/3)y (move y by itself)
    (x-3)/(2/3)=y (divide by 2/3)
    -->(3x-9)/2=y (simplify)

  • Pre-Algebra -

    -12x + 3y = 48

    add 12x to both sides
    3y = 12x + 48

    divide all terms by 3
    y = 4x + 16

    ------------------------------

    -1/4y - x = 0

    start as above: solve for y

    add x to both sides
    -1/4y = x

    multiply all terms by -4
    y = -4x

    Now plug in 3 values for x (such as -1, 0, and 1) and find the value for y for each. The three resulting (x,y) pairs are ordered pairs.

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