Will give brainliest- 20 points (answers must be right before i pick) y=-1/2–x + 4 x + 2y=–8 how many solutions does this linear system have? one solution: (8, 0) one solution: (0, 8) no solution infinite number of solutions

Step-by-step explanation:

Given system of linear equations:

y=-1/2x + 4 and

x + 2y=-8.

Let us convert second equation in slope intercept form too.

x + 2y=-8

Subtracting x from both sides, we get

x -x+ 2y=-8-x

2y = -x-8

Dividing both sides by 2, we get

2y/2 = -x/2-8/2

y = -1/2 x - 4.

Let us find slope and y-intercept of each of the equation.

Slope-intercept form of a linear equation is y = mx+b, where m is the slope and b is y-intercept.

On comparing first equation y=-1/2x + 4 by slope-intercept form y = mx+b slope is -1/2 and y-intercept is 4.

For the second equation y = -1/2 x - 4 slope is -1/2 and y-intercept is -4.

Therefore, correct option is 3rd option:

24

step-by-step explanation: