anonymous
  • anonymous
Solve the system of equations using the elimination method and give your answer as an ordered pair: 2x + 10y = -42 -3x + 9y = -81
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
depending on which you want to eliminate first, either x or y, doesn't matter In this case I want to eliminate x first to find y to eliminate x in two equation, you need to have the same coeficient of x. rite now, the 1st one has 2 and 2nd one has -3 to make them equal, you need to multiply the 1st equation with 3, and the 2nd one with 2 note that once you multiply the equation with a number, you will need to multiply it to every variable of the equation So multiply 1st one with 3 and 2nd one with 2, you have 6x + 30y = -126 -6x + 18y = -162 now they have the same coefficient of x, you can add two equation together to have: (6x + (-6x) + (30y + 18y) = -126 + (-162) => 0x + 48y = -288 -> y = -288/48 -> y = 6 now you can plug y=6 back to equation 1 or 2, doesn't matter I plug y=6 back into the 1st equation to get: 2x + 10y = -42 -> 2x +10*6 = -42 ->2x + 60 = -42 ->2x = -102 ->x = -102/2 ->x= -52 final answer: x=-52 and y = 6 plug these results back to the two equations, you will see that the results satisfy the two equation
anonymous
  • anonymous
thank yhu very much!!!

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