Find the x and y Intercepts 2/5x+1/10y=2

$\frac{2}{5} x + \frac{1}{10} y = 2$

Find the x-intercepts.

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

$\frac{2}{5} x + \frac{1}{10} \cdot (0) = 2$

Solve the equation.

Simplify $\frac{2}{5} x + \frac{1}{10} \cdot (0)$ .

Simplify each term.

Combine $\frac{2}{5}$ and $x$ .

$\frac{2 x}{5} + \frac{1}{10} \cdot (0) = 2$

Multiply $\frac{1}{10}$ by $0$ .

$\frac{2 x}{5} + 0 = 2$

Add $\frac{2 x}{5}$ and $0$ .

$\frac{2 x}{5} = 2$

Multiply both sides of the equation by $\frac{5}{2}$ .

$\frac{5}{2} \cdot \frac{2 x}{5} = \frac{5}{2} \cdot 2$

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{5}{2} \cdot \frac{2 x}{5}$ .

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5}{2} \cdot \frac{2 x}{5} = \frac{5}{2} \cdot 2$

Rewrite the expression.

$\frac{1}{2} (2 x) = \frac{5}{2} \cdot 2$

Cancel the common factor of $2$ .

Factor $2$ out of $2 x$ .

$\frac{1}{2} (2 (x)) = \frac{5}{2} \cdot 2$

Cancel the common factor.

$\frac{1}{2} (2 x) = \frac{5}{2} \cdot 2$

Rewrite the expression.

$x = \frac{5}{2} \cdot 2$

Simplify the right side.

Cancel the common factor of $2$ .

Cancel the common factor.

$x = \frac{5}{2} \cdot 2$

Rewrite the expression.

$x = 5$

x-intercept(s) in point form.

x-intercept(s): $(5, 0)$

Find the y-intercepts.

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

$\frac{2}{5} \cdot (0) + \frac{1}{10} y = 2$

Solve the equation.

Simplify $\frac{2}{5} \cdot (0) + \frac{1}{10} y$ .

Simplify each term.

Multiply $\frac{2}{5}$ by $0$ .

$0 + \frac{1}{10} y = 2$

Combine $\frac{1}{10}$ and $y$ .

$0 + \frac{y}{10} = 2$

Add $0$ and $\frac{y}{10}$ .

$\frac{y}{10} = 2$

Multiply both sides of the equation by $10$ .

$10 \frac{y}{10} = 10 \cdot 2$

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $10$ .

Cancel the common factor.

$10 \frac{y}{10} = 10 \cdot 2$

Rewrite the expression.

$y = 10 \cdot 2$

Simplify the right side.

Multiply $10$ by $2$ .

$y = 20$

y-intercept(s) in point form.

y-intercept(s): $(0, 20)$

List the intersections.

x-intercept(s): $(5, 0)$

y-intercept(s): $(0, 20)$

Find the x and y Intercepts 2/5x+1/10y=2

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