Solve by Substitution y=3x 3x+2y=18

$y = 3 x$ $3 x + 2 y = 18$

Step 1

Replace all occurrences of $y$ with $3 x$ in each equation.

Replace all occurrences of $y$ in $3 x + 2 y = 18$ with $3 x$ .

$3 x + 2 (3 x) = 18$

$y = 3 x$

Simplify the left side.

Simplify $3 x + 2 (3 x)$ .

Multiply $3$ by $2$ .

$3 x + 6 x = 18$

$y = 3 x$

Add $3 x$ and $6 x$ .

$9 x = 18$

$y = 3 x$

$9 x = 18$

$y = 3 x$

$9 x = 18$

$y = 3 x$

$9 x = 18$

$y = 3 x$

Step 2

Divide each term in $9 x = 18$ by $9$ and simplify.

Divide each term in $9 x = 18$ by $9$ .

$\frac{9 x}{9} = \frac{18}{9}$

$y = 3 x$

Simplify the left side.

Cancel the common factor of $9$ .

Cancel the common factor.

$\frac{9 x}{9} = \frac{18}{9}$

$y = 3 x$

Divide $x$ by $1$ .

$x = \frac{18}{9}$

$y = 3 x$

$x = \frac{18}{9}$

$y = 3 x$

$x = \frac{18}{9}$

$y = 3 x$

Simplify the right side.

Divide $18$ by $9$ .

$x = 2$

$y = 3 x$

$x = 2$

$y = 3 x$

$x = 2$

$y = 3 x$

Step 3

Replace all occurrences of $x$ with $2$ in each equation.

Replace all occurrences of $x$ in $y = 3 x$ with $2$ .

$y = 3 (2)$

$x = 2$

Simplify the right side.

Multiply $3$ by $2$ .

$y = 6$

$x = 2$

$y = 6$

$x = 2$

$y = 6$

$x = 2$

Step 4

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

$(2, 6)$

Step 5

The result can be shown in multiple forms.

Point Form:

$(2, 6)$

Equation Form:

$x = 2, y = 6$

Step 6

Solve by Substitution y=3x 3x+2y=18

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