Question

Solve this system of equations.

Answer 1

Answer:

(8,0)

Step-by-step explanation:

y= 0.50x - 4

y= -0.25x + 2

I changed it to make it:

0.25x + y = 2

-0.50x + y = -4

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We subtract the y's and every equation to cancel out the y.

0.25x - (-0.50x) = 0.75x

2-(-4)=6

0.75x = 6

x = 8.

Plug the x into either equation. We'll do the first eqn.

0.25(8)+y=2

2 = y = 2

y = 0.

(8,0).

Answer 2

x = 8, y = 0

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

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

We substitute y=$\frac{1}{2}$x-4 into the y for y=-$\frac{1}{4}$x+2, and we get:

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

+$\frac{1}{4}$x   +$\frac{1}{4}$x

$\frac{3}{4}$x -4 = 2

  +4  +4

$\frac{3}{4}$x = 6

(4)$\frac{3}{4}$x = 6 (4)

The 4's cross out and we get:

3x = 24

/3     /3

x=8

Not we substitute x(8) into one of our original equations: y=$\frac{1}{2}$x-4

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

y=$\frac{1}{2}$(8)-4

y=4-4

y-0

We get our final answer: (8,0)

Hope that helps!