Question

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 − 3

Group of answer choices
please 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 = − 14

Group of answer choices

(10.5, 7)

(-7, 3.5)

(7, 10.5)

(3.5, -7)

Answer 1

1. (x, y) = (8, -1)
2. (x, y) = (7, 10.5)

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

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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

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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.)