Solve {l}{4x+1=4}{4x+9y=1}

$$\left\{ \begin{array} { l } { 4 x + 1 = 4 } \\ { 4 x + 9 y = 1 } \end{array} \right.$$

Solve for x, y

$$x=\frac{3}{4}=0.75$$

$$y=-\frac{2}{9}\approx -0.222222222$$

Solution Steps

Consider the first equation. Subtract 1 from both sides.

$$4x=4-1$$

Subtract 1 from 4 to get 3.

$$4x=3$$

Divide both sides by 4.

$$x=\frac{3}{4}$$

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

$$4\times \frac{3}{4}+9y=1$$

Multiply 4 and \frac{3}{4} to get 3.

$$3+9y=1$$

Subtract 3 from both sides.

$$9y=1-3$$

Subtract 3 from 1 to get -2.

$$9y=-2$$

Divide both sides by 9.

$$y=-\frac{2}{9}$$

The system is now solved.

$$x=\frac{3}{4} y=-\frac{2}{9}$$