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4 years ago

-(1+7x)-6(-7-x)=36 what is x equal to

Mathematics

1 answer:

Katyanochek1 [597]4 years ago

5 0

Answer:

x = 5

Step-by-step explanation:

Step 1: Write equation

-(1 + 7x) - 6(-7 - x) = 36

Step 2: Solve for <em>x</em>

Distribute: -1 - 7x + 42 + 6x = 36
Combine like terms: -x + 41 = 36
Subtract 41 on both sides: -x = -5
Divide both sides: x = 5

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

-(1 + 7(5)) - 6(-7 - 5) = 36

-(1 + 35) - 6(-12) = 36

-(36) + 72 = 36

-36 + 72 = 36

36 = 36

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<h3><u>Given</u><u> </u><u>:</u><u>-</u></h3>

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___________________________________________

$\longmapsto{}$ By Applying Pythagoras Theorem in ∆OPR :

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<u>∴ Right triangle TRP is similar to the right </u><u>triangle</u><u> </u><u>PR</u><u>O</u><u>.</u> [By A-A Rule of similar triangles]

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