Solve {l}{2x+5=-1+4y}{2x+4y=2x+5}

$$\left\{ \begin{array} { l } { 2 x + 5 = - 1 + 4 y } \\ { 2 x + 4 y = 2 x + 5 } \end{array} \right.$$

Solve for x, y

$$x=-\frac{1}{2}=-0.5$$

$$y = \frac{5}{4} = 1\frac{1}{4} = 1.25$$

Solution Steps

Consider the first equation. Subtract 4y from both sides.

$$2x+5-4y=-1$$

Subtract 5 from both sides.

$$2x-4y=-1-5$$

Subtract 5 from -1 to get -6.

$$2x-4y=-6$$

Consider the second equation. Subtract 2x from both sides.

$$2x+4y-2x=5$$

Combine 2x and -2x to get 0.

$$4y=5$$

Divide both sides by 4.

$$y=\frac{5}{4}$$

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

$$2x-4\times \frac{5}{4}=-6$$

Multiply -4 and \frac{5}{4} to get -5.

$$2x-5=-6$$

Add 5 to both sides.

$$2x=-6+5$$

Add -6 and 5 to get -1.

$$2x=-1$$

Divide both sides by 2.

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

The system is now solved.

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