Solve {l}{2x-1*5=1*7x-6}{y=3}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { 2 x - 1 \cdot 5 = 1 \cdot 7 x - 6 }\\ { y = 3 }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z=3$$

Solution Steps

Consider the first equation. Multiply 1 and 5 to get 5.

$$2x-5=1\times 7x-6$$

Multiply 1 and 7 to get 7.

$$2x-5=7x-6$$

Subtract 7x from both sides.

$$2x-5-7x=-6$$

Combine 2x and -7x to get -5x.

$$-5x-5=-6$$

Add 5 to both sides.

$$-5x=-6+5$$

Add -6 and 5 to get -1.

$$-5x=-1$$

Divide both sides by -5.

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

Fraction \frac{-1}{-5} can be simplified to \frac{1}{5} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{1}{5}$$

The system is now solved.

$$x=\frac{1}{5} y=3 z=3$$