Solve y=2x-1text{and}kx-2y=2text{is}x=2

$$y = 2 x - 1 \text { and } k x - 2 y = 2 \text { is } x = 2$$

Solve for y, x, k

$$x=2$$

$$y=3$$

$$k=4$$

Solution Steps

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

$$y=2\times 2-1$$

Multiply 2 and 2 to get 4.

$$y=4-1$$

Subtract 1 from 4 to get 3.

$$y=3$$

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

$$k\times 2-2\times 3=2$$

Multiply -2 and 3 to get -6.

$$k\times 2-6=2$$

Add 6 to both sides.

$$k\times 2=2+6$$

Add 2 and 6 to get 8.

$$k\times 2=8$$

Divide both sides by 2.

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

Divide 8 by 2 to get 4.

$$k=4$$

The system is now solved.

$$y=3 x=2 k=4$$