Solve {l}{-7x+10=24}{6x-5y=-17}

$$\left. \begin{array} { l } { - 7 x + 10 = 24 } \\ { 6 x - 5 y = - 17 } \end{array} \right.$$

Solve for x, y

$$x=-2$$

$$y=1$$

Solution Steps

Consider the first equation. Subtract 10 from both sides.

$$-7x=24-10$$

Subtract 10 from 24 to get 14.

$$-7x=14$$

Divide both sides by -7.

$$x=\frac{14}{-7}$$

Divide 14 by -7 to get -2.

$$x=-2$$

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

$$6\left(-2\right)-5y=-17$$

Multiply 6 and -2 to get -12.

$$-12-5y=-17$$

Add 12 to both sides.

$$-5y=-17+12$$

Add -17 and 12 to get -5.

$$-5y=-5$$

Divide both sides by -5.

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

Divide -5 by -5 to get 1.

$$y=1$$

The system is now solved.

$$x=-2 y=1$$