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2 years ago

Solve the equation. –x 8 3x = x – 6 x = –18 x = –14 x = 2 x = 4

Mathematics

1 answer:

LenKa [72]2 years ago

3 0

The value of the variable x in the equation –x + 8 + 3x = x – 6 is - 14.

<h3>How to find variable in an equation?</h3>

The variables of an equation can be found as follows:

–x + 8 + 3x = x – 6

The variable in the equation is x.

Therefore,

–x + 8 + 3x = x – 6

combine like terms on the left side

-x + 3x + 8 = x - 6

2x + 8 = x - 6

subtract x form both sides of the equation

2x - x + 8 = - 6

x + 8 = -6

subtract 8 from both sides

x = -6 - 8

x = - 14

learn more on equation here: brainly.com/question/1347990

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3 years ago

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<span>Jocelyn bought 2 sweaters for the same price.
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3 years ago

Please help me with this problem

aleksandr82 [10.1K]

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Answer:

(x, y) = (-3, -13) or (-8, -23)

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The values for y can be equated and the resulting quadratic solved by factoring.

2x -7 = x^2 +13x +17

0 = x^2 +11x +24 . . . . . . subtract 2x-7

0 = (x +8)(x +3) . . . . . . . .factor*

The values of x that make these factors zero are x=-8 and x=-3. The corresponding values of y are ...

y = 2(-8) -7 = -23

y = 2(-3) -7 = -13

The solutions are ...

(x, y) = (-8, -23) and (-3, -13)

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* The constants in the binomial factors are factors of 24 that total 11. You know that ...

24 = 1×24 = 2×12 = 3×8 = 4×6

The sums of these factors are 25, 14, 11, 10. The factors 3 and 8 are the constants in the binomial factors of the quadratic.

"24" is the constant in the quadratic. "11" is the coefficient of the x term.

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