Find the x and y Intercepts 5x+7y=3

$5 x + 7 y = 3$

Step 1

Find the x-intercepts.

To find the x-intercept(s), substitute in $0$ for $y$ and solve for $x$ .

$5 x + 7 (0) = 3$

Solve the equation.

Simplify $5 x + 7 (0)$ .

Multiply $7$ by $0$ .

$5 x + 0 = 3$

Add $5 x$ and $0$ .

$5 x = 3$

Divide each term in $5 x = 3$ by $5$ and simplify.

Divide each term in $5 x = 3$ by $5$ .

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

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

x-intercept(s) in point form.

x-intercept(s): $(\frac{3}{5}, 0)$

Step 2

Find the y-intercepts.

To find the y-intercept(s), substitute in $0$ for $x$ and solve for $y$ .

$5 (0) + 7 y = 3$

Solve the equation.

Simplify $5 (0) + 7 y$ .

Multiply $5$ by $0$ .

$0 + 7 y = 3$

Add $0$ and $7 y$ .

$7 y = 3$

Divide each term in $7 y = 3$ by $7$ and simplify.

Divide each term in $7 y = 3$ by $7$ .

$\frac{7 y}{7} = \frac{3}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 y}{7} = \frac{3}{7}$

Divide $y$ by $1$ .

$y = \frac{3}{7}$

y-intercept(s) in point form.

y-intercept(s): $(0, \frac{3}{7})$

Step 3

List the intersections.

x-intercept(s): $(\frac{3}{5}, 0)$

y-intercept(s): $(0, \frac{3}{7})$

Step 4

Find the x and y Intercepts 5x+7y=3

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