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Rufina [12.5K]
3 years ago
12

What is the solution to?

Mathematics
2 answers:
Nina [5.8K]3 years ago
4 0

Answer:

(2, -2)

Step-by-step explanation:

Solve 7x - 2y = 18 for x:

  • 7x - 2y = 18
  • 7x - 2y + 2y = 18 + 2y (Add 2y to both sides)
  • 7x = 2y + 18
  • \frac{7x}{7} = \frac{2y+18}{7} (Divide both sides by 7)
  • x = \frac{2}{7}y+\frac{18}{7}

Substitute 2/7y+ 18/7 for x in -4x + 3y = -14

  • -4x + 3y = -14
  • -4(\frac{2}{7}y+\frac{18}{7})+3y=-14
  • \frac{13}{7}y-\frac{72}{7}=-14 (Simplify both sides of the equation)
  • \frac{13}{7}y-\frac{72}{7}+\frac{72}{7} =-14+ \frac{72}{7} (Add 72/7 to both sides)
  • \frac{13}{7}y=\frac{-26}{7}
  • \frac{13}{7}y*\frac{7}{13}=\frac{-26}{7}  * \frac{7}{13}
  • y = -2

Substitute -2 for y in x = 2/7y + 18/7

  • x = \frac{2}{7}y + \frac{18}{7}
  • x = \frac{2}{7}(-2) + \frac{18}{7}
  • x = 2 (Simplify both sides of the equation)

Given that x = 2 and y = -2, the point is: (2, -2)

Therefore, the solution is (2, -2).

mafiozo [28]3 years ago
4 0
2,-2 because X =2 and y=-2 so therefore 2,-2
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