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2 years ago

Expand and fully simplify 3(x + 1) + 2(3x + 4)

Mathematics

1 answer:

mrs_skeptik [129]2 years ago

4 0

Answer:

$\Large\boxed{\sf{9x+11}}$

Step-by-step explanation:

Given:

Isolate the term of x from one side of the equation.

Use the distributive property.

DISTRIBUTIVE PROPERTY:

$\Longrightarrow: \sf{A(B+C)=AB+AC}$

Each term within the parentheses can be multiplied by a factor outside the parentheses.

3(x+1)

3*x=3x

3*1=3

Rewrite the expression down.

3x+3

3x+3+2(3x+4)

Multiply expand.

2(3x+4)

2*3x=6x

2*4=8

6x+8

3x+3+6x+8

Combine like terms.

3x+6x+3+8

Add the numbers from left to right.

3+8=11

3x+6x+11

Add.

Solutions:

3x+6x=9x

$\Longrightarrow: \boxed{\sf{9x+11}}$

Therefore, the final answer is 9x+11.

I hope this helps. Let me know if you have any questions.

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For this I will use the "Graphing Method"

First, we need to set up two equations.

-> Let x be the number of couple tickets.

-> Let y be the number of individual tickets.

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Next, we will graph this.

-> The point at which the two lines intersect is our solution.

-> See attached.

-> x = 105, so 105 couple tickets

-> y = 40, so 40 individual tickets

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

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