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love history [14]
3 years ago
12

PLEASE PLEASE PLEASE HELP ASAP

Mathematics
1 answer:
Ivan3 years ago
8 0

Answer:

  • x = 6, y = -7 or (6, -7)

Step-by-step explanation:

<u>Given system of equations</u>

  • 5x+4y=2
  • 3x+3y=-3

<u>Solving as follows:</u>

Simplify the second equation by dividing all terms by 3

  • 3x+3y=-3    divide by 3
  • ⇒ x + y = -1

<u>Now, considering the coefficient of x of 5 in the first equation, we will multiply the simplified second equation by 5 and subtract from the first equation:</u>

  • x + y = -1 multiply by 5
  • ⇒5x + 5y = -5

<u>Subtract it from 5x + 4y = 2</u>

  • 5x + 4y - 5x - 5y = 2 - (-5)
  • -y = 7
  • y = -7

<u>Finding x using simplified second equation:</u>

  • x + (-7) = -1
  • x = - 1 + 7
  • x = 6

Answer is (6, -7)

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