Solve by Graphing -2x+y=-1 -4x+2y=1

$- 2 x + y = - 1$ $- 4 x + 2 y = 1$

Add $2 x$ to both sides of the equation.

$y = - 1 + 2 x$

$- 4 x + 2 y = 1$

Add $4 x$ to both sides of the equation.

$y = - 1 + 2 x$

$2 y = 1 + 4 x$

Divide each term by $2$ and simplify.

Tap for more steps…

Divide each term in $2 y = 1 + 4 x$ by $2$ .

$y = - 1 + 2 x$

$\frac{2 y}{2} = \frac{1}{2} + \frac{4 x}{2}$

Cancel the common factor of $2$ .

Tap for more steps…

Cancel the common factor.

$y = - 1 + 2 x$

$\frac{2 y}{2} = \frac{1}{2} + \frac{4 x}{2}$

Divide $y$ by $1$ .

$y = - 1 + 2 x$

$y = \frac{1}{2} + \frac{4 x}{2}$

$y = - 1 + 2 x$

$y = \frac{1}{2} + \frac{4 x}{2}$

Cancel the common factor of $4$ and $2$ .

Tap for more steps…

Factor $2$ out of $4 x$ .

$y = - 1 + 2 x$

$y = \frac{1}{2} + \frac{2 (2 x)}{2}$

Cancel the common factors.

Tap for more steps…

Factor $2$ out of $2$ .

$y = - 1 + 2 x$

$y = \frac{1}{2} + \frac{2 (2 x)}{2 (1)}$

Cancel the common factor.

$y = - 1 + 2 x$

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

Rewrite the expression.

$y = - 1 + 2 x$

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

Divide $2 x$ by $1$ .

$y = - 1 + 2 x$

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

$y = - 1 + 2 x$

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

$y = - 1 + 2 x$

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

$y = - 1 + 2 x$

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

Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution.

No solution

Solve by Graphing -2x+y=-1 -4x+2y=1

Do you need help with math?

Try our mobile app

Our MATH EXPERTS

JackHudson

Charlie Trom

Lucy Evel