How do you solve 2( 9t - 1) + 3= 13?

1 Answer
Jun 10, 2017

See a solution process below:

Explanation:

First, subtract color(red)(3) from each side of the equation to isolate the term with parenthesis while keeping the equation balanced:

2(9t - 1) + 3 - color(red)(3) = 13 - color(red)(3)

2(9t - 1) + 0 = 10

2(9t - 1) = 10

Next, divide each side of the equation by color(red)(2) to isolate the parenthesis while keeping the equation balanced:

(2(9t - 1))/color(red)(2) = 10/color(red)(2)

(color(red)(cancel(color(black)(2)))(9t - 1))/cancel(color(red)(2)) = 5

9t - 1 = 5

Then, add color(red)(1) to each side of the equation to isolate the t term while keeping the equation balanced:

9t - 1 + color(red)(1) = 5 + color(red)(1)

9t - 0 = 6

9t = 6

Now, divide each side of the equation by color(red)(9) to solve for t while keeping the equation balanced:

(9t)/color(red)(9) = 6/color(red)(9)

(color(red)(cancel(color(black)(9)))t)/cancel(color(red)(9)) = (3 xx 2)/color(red)(3 xx 3)

t = (color(red)(cancel(color(black)(3))) xx 2)/color(red)(color(black)(cancel(color(red)(3))) xx 3)

t = 2/3