Solve {l}{2=4a-87/6x=+c}{1=25a-31/2x+c}

$$\left. \begin{array} { l } { 2 = 4 a - \frac { 87 } { 6 } x = + c } \\ { 1 = 25 a - \frac { 31 } { 2 } x + c } \end{array} \right.$$

Solve for x

$$x=\frac{8a-4}{29}$$

Steps for Solving Linear Equation

Reduce the fraction \frac{87}{6} to lowest terms by extracting and canceling out 3.

$$2=4a-\frac{29}{2}x$$

Swap sides so that all variable terms are on the left hand side.

$$4a-\frac{29}{2}x=2$$

Subtract 4a from both sides.

$$-\frac{29}{2}x=2-4a$$

Divide both sides of the equation by -\frac{29}{2}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{29}{2}x}{-\frac{29}{2}}=\frac{2-4a}{-\frac{29}{2}}$$

Dividing by -\frac{29}{2} undoes the multiplication by -\frac{29}{2}.

$$x=\frac{2-4a}{-\frac{29}{2}}$$

Divide 2-4a by -\frac{29}{2} by multiplying 2-4a by the reciprocal of -\frac{29}{2}.

$$x=\frac{8a-4}{29}$$