Solve the System of Equations y=3/5x-1 y=2/5x

$y = \frac{3}{5} x - 1$ $y = \frac{2}{5} x$

Eliminate the equal sides of each equation and combine.

$\frac{3}{5} x - 1 = \frac{2}{5} x$

Solve $\frac{3}{5} x - 1 = \frac{2}{5} x$ for $x$ .

Combine $\frac{3}{5}$ and $x$ .

$\frac{3 x}{5} - 1 = \frac{2}{5} x$

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

$\frac{3 x}{5} - 1 = \frac{2 x}{5}$

Move all terms containing $x$ to the left side of the equation.

Subtract $\frac{2 x}{5}$ from both sides of the equation.

$\frac{3 x}{5} - 1 - \frac{2 x}{5} = 0$

Combine the numerators over the common denominator.

$- 1 + \frac{3 x - 2 x}{5} = 0$

Subtract $2 x$ from $3 x$ .

$- 1 + \frac{x}{5} = 0$

Add $1$ to both sides of the equation.

$\frac{x}{5} = 1$

Multiply both sides of the equation by $5$ .

$5 \frac{x}{5} = 5 \cdot 1$

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$5 \frac{x}{5} = 5 \cdot 1$

Rewrite the expression.

$x = 5 \cdot 1$

Simplify the right side.

Multiply $5$ by $1$ .

$x = 5$

Evaluate $y$ when $x = 5$ .

Substitute $5$ for $x$ .

$y = \frac{2}{5} \cdot (5)$

Substitute $5$ for $x$ in $y = \frac{2}{5} \cdot (5)$ and solve for $y$ .

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

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

Cancel the common factor of $5$ .

Cancel the common factor.

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

Rewrite the expression.

$y = 2$

The solution to the system is the complete set of ordered pairs that are valid solutions.

$(5, 2)$

The result can be shown in multiple forms.

Point Form:

$(5, 2)$

Equation Form:

$x = 5, y = 2$

Solve the System of Equations y=3/5x-1 y=2/5x

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