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aleksley [76]
4 years ago
5

Solve the equation. Then check your solution. 11-19m=-16m-16

Mathematics
1 answer:
Ivahew [28]4 years ago
8 0

11-19m=-16m-16

move -16m to the other side

sign changes from -16m to +16m

11-19m+16m =-16m+16m-16 ( combine like terms)

11-19m+16m=-16

11-3m=-16

move 11 to the other side

sign changes from +11 to -11

11-11-3m=-16-11

-3m=-16-11

-3m=-27

divide both sides by -3 to get +m and by itself

-3m/-3=-27/-3

m=9

Check solution by using substitution method

11-19m=-16m-16

11-19(9)=-16(9)-16

11-171=-144-16

-160=-160

Answer:

m=9

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5) product is 35ax^2 - 42axy + 7y^2

6) product is -a^6b^2 - 8a^5b - 5a^4

7) product is 12x^5y + 6x^4y^2 + 21x^3y^3

8) product is 3x^3y^2 - 6x^3y + 3x^5y - 3x^4y

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=============================================

Explanation:

For each of these questions, you'll multiply the term outside by each term inside the parenthesis. I'm using the distributive property.

In problem 5, we multiply the outer 7a by the following terms inside like so

7a(5x^2-2xy+y^2-4xy)\\\\7a(5x^2-6xy+y^2)\\\\7a(5x^2)+7a(-6xy)+7a(y^2)\\\\35ax^2-42axy+7ay^2\\\\

The other problems will have similar steps.

--------

A useful rule to keep in mind is that a^b*a^c = a^{b+c}

For example, x^2*x^3 = x^{2+3} = x^5

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