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3 years ago

What is the solution to the system of equations?

Mathematics

1 answer:

Leto [7]3 years ago

5 0

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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Solve for k. <br><br><br> 9(3-2x)=2(10-8x)

GrogVix [38]

Answer:

Step-by-step explanation:

9(3−2x)=2(10−8x)

Step 1: Simplify both sides of the equation.

9(3−2x)=2(10−8x)

(9)(3)+(9)(−2x)=(2)(10)+(2)(−8x)(Distribute)

27+−18x=20+−16x

−18x+27=−16x+20

Step 2: Add 16x to both sides.

−18x+27+16x=−16x+20+16x

−2x+27=20

Step 3: Subtract 27 from both sides.

−2x+27−27=20−27

−2x=−7

Step 4: Divide both sides by -2.

−2x −2 = −7 /−2

x= 7/ 2

Answer:

x= 7/ 2

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3 years ago

Which algebraic expression represent the verbal expression "5 less than a number"?

andriy [413]

Answer: n - 5

Step-by-step explanation:

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given that the ratio of boys to girls in a choir group is 17:23, what is the relative frequency of the number of boys?

marusya05 [52]

Answer:

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Plzzzzz help 3 9/10 is the same as the sum of 3 1/3 and half of a number what is the number

kirill [66]

Answer:

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