Solve {l}{4x-5=y}{y+y=1}

$$\left\{ \begin{array} { l } { 4 x - 5 = y } \\ { y + y = 1 } \end{array} \right.$$

Solve for x, y

$$x = \frac{11}{8} = 1\frac{3}{8} = 1.375$$

$$y=\frac{1}{2}=0.5$$

Solution Steps

Consider the second equation. Combine y and y to get 2y.

$$2y=1$$

Divide both sides by 2.

$$y=\frac{1}{2}$$

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

$$4x-5=\frac{1}{2}$$

Add 5 to both sides.

$$4x=\frac{1}{2}+5$$

Add \frac{1}{2} and 5 to get \frac{11}{2}.

$$4x=\frac{11}{2}$$

Divide both sides by 4.

$$x=\frac{\frac{11}{2}}{4}$$

Express \frac{\frac{11}{2}}{4} as a single fraction.

$$x=\frac{11}{2\times 4}$$

Multiply 2 and 4 to get 8.

$$x=\frac{11}{8}$$

The system is now solved.

$$x=\frac{11}{8} y=\frac{1}{2}$$