Solve {l}{2x-1=7}{-x^2+4x-12y=1}

$$\left\{ \begin{array} { l } { 2 x - 1 = 7 } \\ { - x ^ { 2 } + 4 x - 12 y = 1 } \end{array} \right.$$

Solve for x, y

$$x=4$$

$$y=-\frac{1}{12}\approx -0.083333333$$

Solution Steps

Consider the first equation. Add 1 to both sides.

$$2x=7+1$$

Add 7 and 1 to get 8.

$$2x=8$$

Divide both sides by 2.

$$x=\frac{8}{2}$$

Divide 8 by 2 to get 4.

$$x=4$$

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

$$-4^{2}+4\times 4-12y=1$$

Calculate 4 to the power of 2 and get 16.

$$-16+4\times 4-12y=1$$

Multiply 4 and 4 to get 16.

$$-16+16-12y=1$$

Add -16 and 16 to get 0.

$$-12y=1$$

Divide both sides by -12.

$$y=-\frac{1}{12}$$

The system is now solved.

$$x=4 y=-\frac{1}{12}$$