Solve for x1 2x_1+9x_2=30

$2 x_{1} + 9 x_{2} = 30$

Step 1

Subtract $9 x_{2}$ from both sides of the equation.

$2 x_{1} = 30 - 9 x_{2}$

Step 2

Divide each term in $2 x_{1} = 30 - 9 x_{2}$ by $2$ and simplify.

Divide each term in $2 x_{1} = 30 - 9 x_{2}$ by $2$ .

$\frac{2 x_{1}}{2} = \frac{30}{2} + \frac{- 9 x_{2}}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x_{1}}{2} = \frac{30}{2} + \frac{- 9 x_{2}}{2}$

Divide $x_{1}$ by $1$ .

$x_{1} = \frac{30}{2} + \frac{- 9 x_{2}}{2}$

Simplify the right side.

Simplify each term.

Divide $30$ by $2$ .

$x_{1} = 15 + \frac{- 9 x_{2}}{2}$

Move the negative in front of the fraction.

$x_{1} = 15 - \frac{9 x_{2}}{2}$