Solve {l}{-1.6-3.2y=-24}{2.6x+2.6y=26}

$$\left. \begin{array} { l } { - 1.6 - 3.2 y = - 24 } \\ { 2.6 x + 2.6 y = 26 } \end{array} \right.$$

Solve for y, x

$$x=3$$

$$y=7$$

Solution Steps

Consider the first equation. Add 1.6 to both sides.

$$-3.2y=-24+1.6$$

Add -24 and 1.6 to get -22.4.

$$-3.2y=-22.4$$

Divide both sides by -3.2.

$$y=\frac{-22.4}{-3.2}$$

Expand \frac{-22.4}{-3.2} by multiplying both numerator and the denominator by 10.

$$y=\frac{-224}{-32}$$

Divide -224 by -32 to get 7.

$$y=7$$

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

$$2.6x+2.6\times 7=26$$

Multiply 2.6 and 7 to get 18.2.

$$2.6x+18.2=26$$

Subtract 18.2 from both sides.

$$2.6x=26-18.2$$

Subtract 18.2 from 26 to get 7.8.

$$2.6x=7.8$$

Divide both sides by 2.6.

$$x=\frac{7.8}{2.6}$$

Expand \frac{7.8}{2.6} by multiplying both numerator and the denominator by 10.

$$x=\frac{78}{26}$$

Divide 78 by 26 to get 3.

$$x=3$$

The system is now solved.

$$y=7 x=3$$