Solve {c}{5+6/6=5x+7y}{x=5}

$$\left. \begin{array} { c } { \frac { 5 + 6 } { 6 } = 5 x + 7 y } \\ { x = 5 } \end{array} \right.$$

Solve for x, y

$$x=5$$

$$y = -\frac{139}{42} = -3\frac{13}{42} \approx -3.30952381$$

Solution Steps

Consider the first equation. Insert the known values of variables into the equation.

$$\frac{5+6}{6}=5\times 5+7y$$

Multiply both sides of the equation by 6.

$$5+6=30\times 5+42y$$

Add 5 and 6 to get 11.

$$11=30\times 5+42y$$

Multiply 30 and 5 to get 150.

$$11=150+42y$$

Swap sides so that all variable terms are on the left hand side.

$$150+42y=11$$

Subtract 150 from both sides.

$$42y=11-150$$

Subtract 150 from 11 to get -139.

$$42y=-139$$

Divide both sides by 42.

$$y=-\frac{139}{42}$$

The system is now solved.

$$x=5 y=-\frac{139}{42}$$