Solve {l}{5x-2y=-7}{y=5/2+1}

$$\left.\begin{array} { l } { 5 x - 2 y = - 7 } \\ { y = \frac { 5 } { 2 } + 1 } \end{array} \right\}$$

Solve for x, y

$$x=0$$

$$y = \frac{7}{2} = 3\frac{1}{2} = 3.5$$

Solution Steps

Consider the second equation. Add \frac{5}{2} and 1 to get \frac{7}{2}.

$$y=\frac{7}{2}$$

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

$$5x-2\times \frac{7}{2}=-7$$

Multiply -2 and \frac{7}{2} to get -7.

$$5x-7=-7$$

Add 7 to both sides.

$$5x=-7+7$$

Add -7 and 7 to get 0.

$$5x=0$$

Divide both sides by 5. Zero divided by any non-zero number gives zero.

$$x=0$$

The system is now solved.

$$x=0 y=\frac{7}{2}$$