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find the solution of the system of equations. -2x+9y=-17 -x-3y=-1 answer attempt 1 out of 2 (11

Question

Find the solution of the system of equations. -2x+9y=-17 -x-3y=-1 Answer Attempt 1 out of 2 (11

Solution

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4.5 (135 Votos)
Laís Mestre · Tutor por 5 anos

Resposta

To solve the system of equations, we can use the method of substitution or elimination. Here, we'll use the elimination method.First, let's multiply the second equation by 2 to make the coefficients of x in both equations the same:2(-x - 3y) = 2(-1)-2x - 6y = -2Now we have:-2x + 9y = -17-2x - 6y = -2Add the two equations together:3y = -15Divide both sides by 3:y = -5Substitute y = -5 into the second equation:-x - 3(-5) = -1-x + 15 = -1Subtract 15 from both sides:-x = -16Divide both sides by -1:x = 16So, the solution to the system of equations is x = 16, y = -5.