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o-na [289]
3 years ago
10

3(x+1)=2(x-1) solve for x

Mathematics
2 answers:
pshichka [43]3 years ago
5 0

Answer:

x = -5

Step-by-step explanation:

3(1 + x) = 2(x + -1)

(1 * 3 + x * 3) = 2(x + -1)

(3 + 3x) = 2(x + -1)

Reorder the terms:

3 + 3x = 2(-1 + x)

3 + 3x = (-1 * 2 + x * 2)

3 + 3x = (-2 + 2x)

Solving :the equation

3 + 3x = -2 + 2x

add '-2x' to each side of the equation.

3 + 3x + -2x = -2 + 2x + -2x  

Combine like terms: 3x + -2x = x

3 + x = -2 + 2x + -2x

combine like terms: 2x + -2x = 0

3 + x = -2 + 0

3 + x = -2

Add '-3' to each side of the equation.

3 + -3 + x = -2 + -3

Combine like terms: 3 + -3 = 0

0 + x = -2 + -3

x = -2 + -3  

Combine like terms: -2 + -3 = -5

x = -5  

divide each side by '1'.

x = -5

alukav5142 [94]3 years ago
3 0
X=-5
3(x+1)=2(x-1)
3x+3=2x-2
x=-5

If you still don’t understand, the picture has the more detailed work

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juan and debbie each earn 9 per hour at their "jobs." Debbie worked five hours more than juan during the week. if juan and debbi
Vaselesa [24]

Using a system of equations, it is found that Debbie worked 45 hours during the week.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable x: Amount of hours worked by Juan.
  • Variable y: Amount of hours worked by Debbie.

Juan and Debbie each earn 9 per hour at their "jobs", and earned a total of 765 for the week, hence:

9x + 9y = 765

Simplifying the expression by 9:

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Debbie worked five hours more than juan during the week, hence:

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Since x = 85 - y, we replace in the expression:

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2y = 90.

y = 45.

Debbie worked 45 hours during the week.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

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The answer is the second option

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