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3 years ago

7. Solve the formula M=2P+3Q for the variable Q.

1 answer:

7 0

The answer is Q=(M−2P)/3

M = 2P + 3Q

Subtract 2P from both sides:
M - 2P = 2P + 3Q - 2P
M - 2P = 3Q

Divide both sides by 3:
(M - 2P)/3 = 3Q/3
(M - 2P)/3 = Q

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Answer:

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General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Step-by-step explanation:

Step 1: Define equation

-3(u + 2) = 5u - 1 + 5(2u + 1)

Step 2: Solve for u

Distribute: -3u - 6 = 5u - 1 + 10u + 5
Combine like terms: -3u - 6 = 15u + 4
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Rewrite: u = -5/9

Step 3: Check

Plug in u into the original equation to verify it's a solution.

Substitute in u: -3(-5/9 + 2) = 5(-5/9) - 1 + 5(2(-5/9) + 1)
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Add: -3(13/9) = -25/9 - 1 + 5(-1/9)
Multiply: -13/3 = -25/9 - 1 - 5/9
Subtract: -13/3 = -34/9 - 5/9
Subtract: -13/3 = -13/3

Here we see that -13/3 does indeed equal -13/3.

∴ u = -5/9 is a solution of the equation.

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