Q:

What is the solution to the system of equations? 2x+4y=122 x + 4 y = 12 y=\frac{1}{4}x-3y = 1 4 x − 3Group of answer choicesplease help me!A) (5,0.5)B) (8,-1)C) (-1,8)D) (0.5,5)What is the solution to the system of equations? y=2x-3.5y = 2 x − 3.5 x-2y=-14x − 2 y = − 14Group of answer choices(10.5, 7)(-7, 3.5)(7, 10.5)(3.5, -7)

Accepted Solution

A:
Answer: (x, y) = (8, -1) (x, y) = (7, 10.5)Step-by-step explanation:1. You can use the expression for y to substitute into the first equation:   2x +4(1/4x -3) = 12   2x +x -12 = 12 . . . . . . eliminate parentheses   3x = 24 . . . . . . . . . . . add 12; next divide by 3   x = 8 . . . . . matches choice C__2. You can use the expression for y to substitute into the second equation:   x -2(2x -3.5) = -14   -3x +7 = -14 . . . . . . eliminate parentheses   21 = 3x . . . . . . . . . . add 3x+14; next divide by 3   7 = x . . . . . matches the third choice_____When the answer choices are sufficiently different, you only need to find one value to determine which is the correct choice. (If you want to check your work further, you can substitute the other answer value into the two equations to see if it works.)