How do you solve $-\frac { 3} { 2} y - \frac { 9} { 7} = - \frac { 3} { 2}$ ?

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Answer 1 · 2017-03-05T13:02:01

See the entire solution process below:

First, eliminate the fractions and keep the equation balanced by multiplying each side of the equation by $color(red)(14)$ .

$color(red)(14)(-3/2y - 9/7) = color(red)(14) xx -3/2$

$(color(red)(14) xx -3/2y) - (color(red)(14) xx 9/7) = cancel(color(red)(14))7 xx -3/color(red)(cancel(color(black)(2)))$

$(cancel(color(red)(14))7 xx -3/color(red)(cancel(color(black)(2)))y) - (cancel(color(red)(14))2 xx 9/color(red)(cancel(color(black)(7)))) = -21$

$-21y - 18 = -21$

Next, add $color(red)(18)$ to each side of the equation to isolate the $y$ term while keeping the equation balanced:

$-21y - 18 + color(red)(18) = -21 + color(red)(18)$

$-21y - 0 = -3$

$-21y = -3$

Now, divide each side of the equation by $color(red)(-21)$ to solve for $y$ while keeping the equation balanced:

$(-21y)/color(red)(-21) = -3/color(red)(-21)$

$(color(red)(cancel(color(black)(-21)))y)/cancel(color(red)(-21)) = 1/7$

$y = 1/7$

How do you solve -\frac { 3} { 2} y - \frac { 9} { 7} = - \frac { 3} { 2}-\frac { 3} { 2} y - \frac { 9} { 7} = - \frac { 3} { 2}?