MATHEMATICS MIDDLE SCHOOL

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)

Answers

Answer 1

Answer:

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.)

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Answers

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Explain how you you can tell 4/9 is in the simplest form

Answers

Because it cannot be reduced any further.

Because this i s what my teacher taught me

What it's divisible by

2x 4 is divisible but not 9
3x none are divisible by three
4x only 4
And you only go up to the numerator there for 4/9 is in simplest form

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b. A, B, D, G, K, ...