Find the solution to the system -6×+8y=12 and -3×+4y=6

y = 3/4x + 3/2

x = 4/3y - 2

There are infinitely many solutions.

To prove these equation are the same

multiply every quantity by 2 using the multiplication property of equality.

[ -6x + 8y = 12 ] = 2 [ -3x + 4y = 6 ]

2(-3x) + 2(4y) = 2(6) = 2(-3x) + 2(-4y) - 2(6) = -6x + 8y = 12 = -6x + 8y - 12

2(-3x) + 2(4y) - 2(6) = -6x + 8y - 12

-6x + 8y - 12 = -6x + 8y - 12

+6x -8y +12 +6x -8y + 12

(The general property of equality, what you do to one side, you must do to the other)

0 = 0 [always true]

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x