Solve by Graphing 3y-6x=0 x+2y=10

$3 y - 6 x = 0$ $x + 2 y = 10$

Step 1

Add $6 x$ to both sides of the equation.

$3 y = 6 x$

$x + 2 y = 10$

Step 2

Divide each term in $3 y = 6 x$ by $3$ and simplify.

Divide each term in $3 y = 6 x$ by $3$ .

$\frac{3 y}{3} = \frac{6 x}{3}$

$x + 2 y = 10$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 y}{3} = \frac{6 x}{3}$

$x + 2 y = 10$

Divide $y$ by $1$ .

$y = \frac{6 x}{3}$

$x + 2 y = 10$

$y = \frac{6 x}{3}$

$x + 2 y = 10$

$y = \frac{6 x}{3}$

$x + 2 y = 10$

Simplify the right side.

Cancel the common factor of $6$ and $3$ .

Factor $3$ out of $6 x$ .

$y = \frac{3 (2 x)}{3}$

$x + 2 y = 10$

Cancel the common factors.

Factor $3$ out of $3$ .

$y = \frac{3 (2 x)}{3 (1)}$

$x + 2 y = 10$

Cancel the common factor.

$y = \frac{3 (2 x)}{3 \cdot 1}$

$x + 2 y = 10$

Rewrite the expression.

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

$x + 2 y = 10$

Divide $2 x$ by $1$ .

$y = 2 x$

$x + 2 y = 10$

$y = 2 x$

$x + 2 y = 10$

$y = 2 x$

$x + 2 y = 10$

$y = 2 x$

$x + 2 y = 10$

$y = 2 x$

$x + 2 y = 10$

Step 3

Subtract $x$ from both sides of the equation.

$2 y = 10 - x$

$y = 2 x$

Step 4

Divide each term in $2 y = 10 - x$ by $2$ and simplify.

Divide each term in $2 y = 10 - x$ by $2$ .

$\frac{2 y}{2} = \frac{10}{2} + \frac{- x}{2}$

$y = 2 x$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{10}{2} + \frac{- x}{2}$

$y = 2 x$

Divide $y$ by $1$ .

$y = \frac{10}{2} + \frac{- x}{2}$

$y = 2 x$

$y = \frac{10}{2} + \frac{- x}{2}$

$y = 2 x$

$y = \frac{10}{2} + \frac{- x}{2}$

$y = 2 x$

Simplify the right side.

Simplify each term.

Divide $10$ by $2$ .

$y = 5 + \frac{- x}{2}$

$y = 2 x$

Move the negative in front of the fraction.

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

$y = 2 x$

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

$y = 2 x$

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

$y = 2 x$

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

$y = 2 x$

Step 5

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

$(2, 4)$

Step 6

Solve by Graphing 3y-6x=0 x+2y=10

Related Questions

Support LCMGCF.com by disabling your adblocker.