Question

BRAINLIEST GUARANTEED, 20 points!!

Answer 1

Answer:

x = -4, y = -4

Step-by-step explanation:

Normally, if it's allowed, I would use a graphing calculator which basically turns the equations (-2x+y=4) and (y=$\frac{1}{2}$x-2) into two straight lines, which represent the line of possible values that can fit into the equations. However, since you want the value of x and y in both equations to be the same, you have to look for the intersection of the two graphs. I use desmos.com/calculator to just type in the equations and the lines would be drawn automatically. By hovering over the equation, I can get the two values of x and y (the first value is for x, and the second one is for y).

Here is the working if you want to work it out by hand: (I'm using algebra for this one)

-2x+y=4 -------------------------------- Equation 1

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

Substitute Equation 2 into Equation 1:

-2x+$\frac{1}{2}$x-2=4

Simplify:

-1$\frac{1}{2}$x-2=4

-1$\frac{1}{2}$x=4+2

-1$\frac{1}{2}$x=6

1$\frac{1}{2}$x=-6

$\frac{3}{2}$x=-6

3x=-6×2

3x=-12

x=-12÷3

x=-4 ------------------------------------ Equation 3

Substitute Equation 3 into Equation 1:

-2(-4)+y=4

Simplify:

8+y=4

y=4-8

y=-4

Thus, x=-4, y=-4