kat02wavy
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  • 02-04-2017
  • Mathematics
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solve using elimination 5x-9y=-43 3x+8y=68 what is the answer

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cher
cher cher
  • 02-04-2017
Equation 1)  5x - 9y = -43
Equation 2)  3x + 8y = 68

Multiply equation 1 by 3, and equation 2 by 5.

1)  3(5x - 9y = -43)
2)  5 (3x + 8y = 68)

Simplify.

1)  15x - 27y = -129
2)  15x + 40y =  340

Subtract equations from each other.

-67y = -469

Divide both sides by -67

y = 7

Plug in (7) for y in equation 1

5x - 9y = -43

5x - 9(7) = -43

Simplify.

5x - 63 = -43

Add 63 to both sides.

5x = 20

Divide both sides by 5.

x = 4

(4, 7)

~Hope I helped!~
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