WILL GIVE BRAINLIEST- 20 POINTS (answers must be right before i pick)FAST!!y=-1/2–x + 4x + 2y=–8How many solutions does this linear system have? one solution: (8, 0)one solution: (0, 8)no solutioninfinite number of solutionsplease help

Answer:No solution.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=-8Subtracting x from both sides, we get x -x+ 2y=-8-x2y = -x-8Dividing both sides by 2, we get 2y/2 = -x/2-8/2y = -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.Note: Slopes of both equations are same but y-intercepts are different.So, the lines would be parallel and would not cut at any point.So, the system of equation would not have any solution.Therefore, correct option is 3rd option:No solution.