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jessierussell jessierussell
  • 07-05-2015
  • Mathematics
Answered

what is y=-6x=7

y=8x-21 in solving system by substitution method?

Verified Answer :

SchwarzschildRadius
SchwarzschildRadius SchwarzschildRadius
  • 07-05-2015

So,

Notice that y is equal to two different equations.

Since we know that, we can simply put the right sides of both equations side-by-side.

-6x + 7 = 8x - 21

Add 6x to both sides
7 = 14x - 21

Add 21 to both sides
28 = 14x

Divide both sides by 14
2 = x

Substitute in the second equation
y = 8(2) - 21

Distribute
y = 16 - 21

Collect Like Terms
y = -5

Check
-5 = -6(2) + 7
-5 = -12 + 7
-5 = -5 This checks.

Check in second equation
-5 = 8(2) - 21
-5 = 16 - 21
-5 = -5 This also checks.

S = {(2,-5)}

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