Solve the System of Equations y=3x 2x+3y=55

$y = 3 x$ $2 x + 3 y = 55$

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

Replace all occurrences of $y$ in $2 x + 3 y = 55$ with $3 x$ .

$2 x + 3 (3 x) = 55$

$y = 3 x$

Simplify the left side.

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

Multiply $3$ by $3$ .

$2 x + 9 x = 55$

$y = 3 x$

Add $2 x$ and $9 x$ .

$11 x = 55$

$y = 3 x$

$11 x = 55$

$y = 3 x$

$11 x = 55$

$y = 3 x$

$11 x = 55$

$y = 3 x$

Divide each term in $11 x = 55$ by $11$ and simplify.

Divide each term in $11 x = 55$ by $11$ .

$\frac{11 x}{11} = \frac{55}{11}$

$y = 3 x$

Simplify the left side.

Cancel the common factor of $11$ .

Cancel the common factor.

$\frac{11 x}{11} = \frac{55}{11}$

$y = 3 x$

Divide $x$ by $1$ .

$x = \frac{55}{11}$

$y = 3 x$

$x = \frac{55}{11}$

$y = 3 x$

$x = \frac{55}{11}$

$y = 3 x$

Simplify the right side.

Divide $55$ by $11$ .

$x = 5$

$y = 3 x$

$x = 5$

$y = 3 x$

$x = 5$

$y = 3 x$

Replace all occurrences of $x$ with $5$ in each equation.

Replace all occurrences of $x$ in $y = 3 x$ with $5$ .

$y = 3 (5)$

$x = 5$

Simplify the right side.

Multiply $3$ by $5$ .

$y = 15$

$x = 5$

$y = 15$

$x = 5$

$y = 15$

$x = 5$

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

$(5, 15)$

The result can be shown in multiple forms.

Point Form:

$(5, 15)$

Equation Form:

$x = 5, y = 15$

Solve the System of Equations y=3x 2x+3y=55

Related Questions

Support LCMGCF.com by disabling your adblocker.