Solve {c}{5x+2y=10}{4x+19=15}

$$\left. \begin{array} { c } { 5 x + 2 y = 10 } \\ { 4 x + 19 = 15 } \end{array} \right.$$

Solve for x, y

$$x=-1$$

$$y = \frac{15}{2} = 7\frac{1}{2} = 7.5$$

Solution Steps

Consider the second equation. Subtract 19 from both sides.

$$4x=15-19$$

Subtract 19 from 15 to get -4.

$$4x=-4$$

Divide both sides by 4.

$$x=\frac{-4}{4}$$

Divide -4 by 4 to get -1.

$$x=-1$$

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

$$5\left(-1\right)+2y=10$$

Multiply 5 and -1 to get -5.

$$-5+2y=10$$

Add 5 to both sides.

$$2y=10+5$$

Add 10 and 5 to get 15.

$$2y=15$$

Divide both sides by 2.

$$y=\frac{15}{2}$$

The system is now solved.

$$x=-1 y=\frac{15}{2}$$