You are watching: Solve the following system of equations enter the y coordinate of the solution

-2x + 6y = -34-x + 3y = -17x = 3y +17Sub this into first eqn5(3y + 17) + 2y = 2115y + 85 + 2y =2117y = -64y = -3.7647 (to 5 sig. Fig.)y = -3.8 (to nearest tenth)Sub y = -3.7647 into 2nd eqnx = 3(-3.7647) +17 x = 5.7 (to nearest tenth)

5x + 2y = 7 ...multiply by -3-2x + 6y = 9-15x - 6y = -21 (result of multiplying by -3)-2x + 6y = 9add-17x = - 12x = 12/17 or 0.75x + 2y = 75(12/17) + 2y = 760/17 + 2y = 72y = 7 - 60/172y = 119/17 - 60/172y = 59/17y = (59/17) / 2y = 59/17 * 1/2y = 59/34 or 1.7(0.7,1.7) is the solution to the equationthe concern is asking for the y coordinateit is 1.7 jaimes04

We could solve for "x" in the 2nd equation and then plug that right into the very first equation because that "x" and solve for "y":Subtract 6y to both sides: Divide -2 to both sides: Plug in 3y + 17 for "x" in the first equation: Distribute 5: Combine favor terms: Subtract 85 to both sides: Divide 17 come both sides: This is the y-coordinate that the solution.

Mathematics, 22.06.2019 01:00

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