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lana66690 [7]
2 years ago
12

Simplify 3(2x+4y-2z)+7(x+y-4z)

Mathematics
1 answer:
Nostrana [21]2 years ago
5 0

3(2x + 4y - 2z) + 7(x + y - 4z)
Remove parenthesis.
Distribute 3 and 7 through the parenthesis

= 6x + 12y - 6z + 7x + 7y - 28z
Collect the like terms by adding their coefficients.

= 13x + 12y - 6z + 7y - 28z
Collect the like terms by adding their coefficients.

= 13x + 19y - 6z - 28z
Collect like terms by calculating the sum or difference of their coefficients. Use addition and subtraction rules to calculate the expression.

= 13x + 19y - 34z
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Answer:

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Step-by-step explanation:

step 1

Find the slope of the given line

we have

y=-4x+7

This is the equation of the given line in slope intercept form

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step 2

Find the slope of the line parallel to the given line

we know that

If two lines are parallel, then their slopes are the same

therefore

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step 3

Find the equation of the line in point slope form

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substitute

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step 4

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isolate the variable y

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