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nikdorinn [45]
3 years ago
15

Simplify the expression by combining like terms 15+12x-5x+44-7

Mathematics
1 answer:
Eduardwww [97]3 years ago
8 0

Answer:

Simplifying

15 + 12x + -5x + 4y + -7 = 0

Reorder the terms:

15 + -7 + 12x + -5x + 4y = 0

Combine like terms: 15 + -7 = 8

8 + 12x + -5x + 4y = 0

Combine like terms: 12x + -5x = 7x

8 + 7x + 4y = 0

Solving

8 + 7x + 4y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + 7x + -8 + 4y = 0 + -8

Reorder the terms:

8 + -8 + 7x + 4y = 0 + -8

Combine like terms: 8 + -8 = 0

0 + 7x + 4y = 0 + -8

7x + 4y = 0 + -8

Combine like terms: 0 + -8 = -8

7x + 4y = -8

Add '-4y' to each side of the equation.

7x + 4y + -4y = -8 + -4y

Combine like terms: 4y + -4y = 0

7x + 0 = -8 + -4y

7x = -8 + -4y

Divide each side by '7'.

x = -1.142857143 + -0.5714285714y

Simplifying

x = -1.142857143 + -0.5714285714y

Step-by-step explanation:

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Elijah brought a total of 16 pounds of peanuts and cashew nuts and paid $49.50 if peanuts cost $2.75 per pound and cashews nuts
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Answer:

The number of pounds of cashew is 11

Step-by-step explanation:

Let P represent the peanut

Let C represent the cashew nut.

From question, we were told that Elijah brought a total of 16 pounds of peanuts and cashew nuts. This can be written as:

P + C = 16 (1)

The total cost = $49.50

Cost per peanut = $2.75

Cost per cashew = $3.25

The above can be represented as:

49.50 = 2.75P + 3.25C. (2)

From equation 1,

P + C = 16

P = 16 — C

Substitute the value of P into equation 2:

49.50 = 2.75P + 3.25C.

49.50 = 2.75(16 — C) + 3.25C

49.50 = 44 — 2.75C + 3.25C

49.50 = 44 + 0.5C

Collect like terms

49.50 — 44 = 0.5C

5.5 = 0.5C

Divide both side by 0.5

C = 5.5/0.5

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