### Home > CCA2 > Chapter 1 > Lesson 1.2.1 > Problem1-72

1-72.

Rearrange each equation below by solving for x. Write each equation in the form x = ____. (Note that y will be in your answer). Homework Help ✎

1. $y=\frac{3}{5}x+1$

To solve for x, you need to isolate the x-term. There are two ways to start. You can isolate the x-term or eliminate the denominator.

To isolate the x-term:

$y-1=\frac{3}{5}x$

$\frac{5}{3}\cdot \left(y-1\right)=\frac{3}{5}x\cdot \frac{5}{3}$

$x=\frac{5(y-1)}{3}$

To eliminate the denominator first:

$5\cdot y=\left(\frac{3}{5}x+1\right)\cdot 5$

$5y=3x+5$

$3x=5y-5$

$x=\frac{5y-5}{3}$

2. 3x + 2y = 6

See part (a).

3. y = x2

Refer to part (c) of problem 1-37.

4. y = x2 − 100

Refer to part (d) of problem 1-37.

This cannot be simplified. Why?

$x=\pm\sqrt{y+100}$