How do you solve 7= 12+ \frac { 1} { 2} a7=12+12a?

2 Answers
Aug 22, 2017

a = -10a=10

Explanation:

7 = 12 + 1/2a7=12+12a

7 = 12 + a/27=12+a2

Multiply through with the LCM

7 xx 2 = 12 xx 2 + a/2 xx 27×2=12×2+a2×2

14 = 24 + a/cancel2 xx cancel2

14 = 24 + a

Collect like terms

a = 14 - 24

a = -10

Aug 22, 2017

See a solution process below:

Explanation:

First, subtract color(red)(12) from each side of the equation to isolate the a term while keeping the equation balanced:

-color(red)(12) + 7 = -color(red)(12) + 12 + 1/2a

-5 = 0 + 1/2a

-5 = 1/2a

Now, multiply each side of the equation to by color(red)(2) to solve for a while keeping the equation balanced:

color(red)(2) xx -5 = color(red)(2) xx 1/2a

-10 = cancel(color(red)(2)) xx 1/color(red)(cancel(color(black)(2)))a

-10 = 1a

-10 = a

a = -10