Question

What is the value of x in the solution to the this system of equations:

Answer 1

Answer:

x = 2

Step-by-step explanation:

For system of equations, you need to equal them to each other. First, you need to isolate y on one side of the equation in $y - 2x = -3$

$y = -3 + 2x$

Now, equal the equations to each other:

$-\frac{1}{2}x + 2 = -3 + 2x$

Add $\frac{1}{2} x$ to both sides of the equation:

$2 = -3 + (2x + \frac{1}{2}x) = -3 + (\frac{4}{2}x + \frac{1}{2}x) = -3 + \frac{5}{2} x$

Subtract add 3 to both sides of the equation:

$5 = \frac{5}{2}x$

Divide $\frac{5}{2}$ on both sides of the equation. Remember: when you divide a fraction, you multiply by the reciprocal. See below:

$\frac{2}{5} * 5 = x$

$\frac{10}{5} = x$

$x = 2$

Check your work:

$-\frac{1}{2}(2) + 2 = -3 + 2(2)$

-1 = -1

Answer 2

Answer:

x=2 and y=1

Step-by-step explanation:

hope this helps!