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IRISSAK [1]
3 years ago
15

The solution to the system equations

Mathematics
1 answer:
katovenus [111]3 years ago
3 0

Let's solve this system of equations through substitution.

We have these two equations.

-7x-2y=14

6x+6y=18

Now let divide the second equation by 6.

6x+6y=18 ---->   x+y=3

Next, let us move y to the right side of the equation.

x+y=3 -------> x=3-y (x equals 3-y)

Because we found out that what x is in terms of y, we can input that in for every instance of x in this equation below.

-7x-2y=14 becomes -7(3-y)-2y=14 (Why? Because x equals 3-y!)

We have a one variable equation now and can solve for y.

-7(3-y)-2y=14

-21+7y-2y=14

5y=35

y=7

Plug in 7 for y in any equation to find x.

x+y=3

x+7=3

x=-4

answer: x=-4, y=7

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marin [14]
Since you're only asked the ordered pair of D'', it's much easier just to plot and reflect point D twice than to do that for all four points!

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1) Reflect D over the x-axis to get D'.
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2) Reflect D' over <span>y=x+1 to get D''. 
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Answer: D'' is at (-2, 5)

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