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3 years ago

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which of these shows the result of using the first equation to substitute for y in the second equation, then combining like term

s. y=2x 2x+3y=16 a. 4x=16 b. 5y=16 c. 8x=16 d. 5x=16

1 answer:

Furkat [3]3 years ago

7 0

Answer:

C. $\Rightarrow \bold{8x = 16}$

Step-by-step explanation:

Given the two equations:

$y=2x ........ (1)\\ 2x+3y=16.......(2)$

To find:

The correct option when value of y is substituted to 2nd equation using the 1st equation.

Solution:

First of all, let us learn about the substitution method.

Substitution method is the method to provide solutions to two variables when we have two equations and two variables.

In substitution method, we find the value of one variable in terms of the other variable and put this value in the other equation.

Now, the other equation becomes only single variable and then we solve for the variable's value.

Here, we have two equations and value of one varible is:

$y=2x$

Let us put value of y in 2nd equation:

$2x+3y=16\\\Rightarrow 2x + 3(2x) = 16\\\Rightarrow 2x + 6x = 16\\\Rightarrow \bold{8x=16}$

So, the correct answer is option C. $\Rightarrow \bold{8x = 16}$

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Subtract 8 from both sides:

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divide both sides by 6:

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2 years ago

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Answer:

From largest to smallest: FG, FH, GH

Step-by-step explanation:

Given

$FG = 6x + 7$

$GH = 8x - 5$

$FH = 10x - 11$

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Required

Order the sides in descending order

First, we need to solve for x.

Perimeter of FGH is calculated as thus:

$Perimeter = FG + GH + FH$

Substitute values for FG, GH, FH and Perimeter

$87 = 6x + 7 + 8x - 5 + 10x - 11$

Collect Like Terms

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Reorder

$24x = 96$

Divide through by 24

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Substitute 4 for x in FG, GH and FH

$FG = 6x + 7$

$FG = 6 * 4 + 7$

$FG = 24 + 7$

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$GH = 8x - 5$

$GH = 8 * 4 - 5$

$GH = 32 - 5$

$GH = 27$

$FH = 10x - 11$

$FH = 10*4 - 11$

$FH = 40 - 11$

$FH = 29$

In order of arrangement in descending order, we have:

$FG =31$ $FH = 29$ $GH = 27$

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