chloecalliott chloecalliott
  • 03-01-2023
  • Mathematics
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solve the system of equations using elimination: -3x+3y=9 and 8x-6y=-4

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aalltrac aalltrac
  • 03-01-2023

Answer:

To solve this system of equations using elimination, we need to eliminate one of the variables by adding or subtracting the equations. In this case, we can eliminate the y-term by adding the equations:

(-3x+3y) + (8x-6y) = 9 + (-4)

5x = 5

x = 1

We can substitute this value for x back into one of the original equations to solve for y:

-3(1) + 3y = 9

3y = 9

y = 3

Therefore, the solution to the system of equations is x = 1, y = 3.

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