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AveGali [126]
3 years ago
13

Convert to factored form y = x² + 6x

Mathematics
1 answer:
steposvetlana [31]3 years ago
8 0

<em><u>Convert to factored form is:</u></em>

y = x(x + 6)

<em><u>Solution:</u></em>

Given that,

y = x^2 + 6x

We have to convert to factored form

Factored form means writing terms in multiplication. i.e as a product

From given,

y = x^2 + 6x

Factor out x from above given expression

y = x(x + 6)

Here, the given equation is written as product of "x" and (x + 6)

Thus the factored form is found

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Use elimination method.  Manipulate one (or both) equations to eliminate one of the variables and solve for the remaining variable.  <em>I will be eliminating y</em>

6x +  y =  15    → 2(6x +  y =  15)   →   12x + 2y = 30

-7x - 2y = -10   → 1(-7x + 2y = -10)   →  <u> -7x - 2y = -10</u>

                                                             5x        = 20

                                                               x         =  4

Next, replace "x" with "4" into either equation and solve for y.

6(4) + y = 15

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<u>Check:</u>

Plug in x = 4 and y = -9 into the other equation to verify it makes a true statement.

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-7(4) - 2(-9) = -10

-28  -   -18  = -10

-28  +  18 = -10

       -10    =  -10  \checkmark

6 0
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