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Q. 102

Expert-verified
Found in: Page 452

### Elementary Algebra

Book edition 2nd
Author(s) Lynn Marecek, MaryAnne Anthony-Smith
Pages 1240 pages
ISBN 9780998625713

# In the following exercises, graph by plotting points. $3x+5y=5$

The graph of the equation is

See the step by step solution

## Step 1. Given Information

In the given exercises we have to graph by plotting points.

$3x+5y=5$

## Step 2. Find three points that are solutions to the equation.First, let x=0

$3x+5y=5\phantom{\rule{0ex}{0ex}}3×0+5y=5\phantom{\rule{0ex}{0ex}}5y=5$

Solve for y.

$5y=5\phantom{\rule{0ex}{0ex}}\frac{5}{5}y=\frac{5}{5}\phantom{\rule{0ex}{0ex}}y=1$

## Step 3. Now let y=0

$3x+5y=5\phantom{\rule{0ex}{0ex}}3x+5×0=5\phantom{\rule{0ex}{0ex}}3x=5$

Solve for x.

$\frac{3}{3}x=\frac{5}{3}\phantom{\rule{0ex}{0ex}}x=\frac{5}{3}$

## Step 4. We need a third point. Remember, we can choose any value for x or y.We'll let x=1

$3x+5y=5\phantom{\rule{0ex}{0ex}}3×1+5y=5\phantom{\rule{0ex}{0ex}}3+5y=5$

Subtract by 3 on both side

$3+5y-3=5-3\phantom{\rule{0ex}{0ex}}5y=2$

Solve for y.

$\frac{5}{5}y=\frac{2}{5}\phantom{\rule{0ex}{0ex}}y=\frac{2}{5}$