Respuesta :

Answer:

x=4 and y=−2

Step-by-step explanation:

1. 3(−7x−8y=−12)

−4(4x−6y=28)

2. −21x−24y=−36

−16x+24y=−112

3. divide

4. Substitute 4 for x in−7x−8y=−12:

(−7)(4)−8y=−12

5. −8y−28+28=−12+28

divide 8 to 16

y=-2

mhanifa

Answer:

  • (4, -2)

Step-by-step explanation:

Given system:

  • -7x - 8y = -12
  • 4х - 6у = 28

Simplify the second equation:

  • 2x - 3y = 14

Solve the system by elimination, multiply the first equation by 2 and the second equation by 7 and add up. Solve for y:

  • -7x(2) - 8y(2) + 2x(7) - 3y(7) = -12(2) + 14(7)
  • -16y - 21y = -24 + 98
  • -37y = 74
  • y = -74/37
  • y = -2

Find x using the second equation:

  • 2x - 3(-2) = 14
  • 2x = 14 - 6
  • 2x = 8
  • x = 4

Solution is (4, -2)