Part a: solve the equation 7x + 3x - 18 = 6(x + 3), and show your work.(5 points)

part b: use this list of properties to justify each step of your math work. justifications may be used more than once if needed. (5 points)
distributive property
subtraction property of equality
combine like terms
multiplication property of equality
division property of equality
given
addition property of equality

Question

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Abdulazeez10 Abdulazeez10 · Answer 1 · 2022-06-27T18:09:33+02:00

The solution to the given linear equation is x = 9

From the question, we are to solve the given linear equation

The given equation is

7x + 3x - 18 = 6(x + 3)

By the distributive property, we get

7x + 3x - 18 = 6x + 18

Combine like terms

7x + 3x - 6x = 18 + 18

Addition property of equality

10x - 6x = 36

Subtraction property of equality

4x = 36

Division property of equality

x = 36/4

x = 9

Hence, the solution to the given linear equation is x = 9

Learn more on Solving linear equations here: https://brainly.com/question/3926291

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brainzdead brainzdead · Answer 2 · 2022-06-27T22:14:21+02:00

Answer:

x = 9

Step-by-step explanation:

7x + 3x - 18 = 6 (x + 3)

7x + 3x - 18 = 6 (x + 3) Use the distributive property, which gets us 7x + 3x - 18 = 6x + 18

Combine terms, first 18 + 18 = 36

Then you use the addition property of equality 7x + 3x = 10x

You now have 10x - 6x = 36

Then you use the subtraction property of equality, which subtracts 10x and 6x

You're left with 4x = 36

Then you do the division property of equality, so 4x divided by 4 is one and 36 divided by 4 is 9

The answer is x = 9

Added this after doing the problem myself :)