Solve -2y=-1;2x-y=7?

$$- 2 y = - 1 ; 2 x - y = 7 ?$$

Solve for y, x

$$x = \frac{15}{4} = 3\frac{3}{4} = 3.75$$

$$y=\frac{1}{2}=0.5$$

Solution Steps

Consider the first equation. Divide both sides by -2.

$$y=\frac{-1}{-2}$$

Fraction \frac{-1}{-2} can be simplified to \frac{1}{2} by removing the negative sign from both the numerator and the denominator.

$$y=\frac{1}{2}$$

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

$$2x-\frac{1}{2}=7$$

Add \frac{1}{2} to both sides.

$$2x=7+\frac{1}{2}$$

Add 7 and \frac{1}{2} to get \frac{15}{2}.

$$2x=\frac{15}{2}$$

Divide both sides by 2.

$$x=\frac{\frac{15}{2}}{2}$$

Express \frac{\frac{15}{2}}{2} as a single fraction.

$$x=\frac{15}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$x=\frac{15}{4}$$

The system is now solved.

$$y=\frac{1}{2} x=\frac{15}{4}$$