gtrish934 gtrish934
  • 25-04-2024
  • Mathematics
contestada

Solve the following system of linear equations algebraically: 3x + 2y = 4, -2x + 2y = 24

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kat0511 kat0511
  • 25-04-2024

Answer:

x = -4 y = 8

Step-by-step explanation:

Step 1: Multiply the first equation by 2 and the second equation by 3 to eliminate the y variable. 6x + 4y = 8 -6x + 6y = 72

Step 2: Add the two equations to eliminate the x variable. 10y = 80 y = 8

Step 3: Substitute the value of y into one of the original equations to find the value of x. Using the first equation: 3x + 2(8) = 4 3x + 16 = 4 3x = -12 x = -4

Therefore, the solution to the system of linear equations is: x = -4 y = 8

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