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Where do the lines modeled by the equation y= -7/8x + 1/4 and y= -3/4x+1/2 intersect

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Since both equations are equal to y, set them equal to each other and solve.
-7/8 x + 1/4 = -3/4x + 1/2

Multiply each term by the LCD 8.
8(-7/8)x+8(1/4)=8(-3/4)x+8(1/2)
-7x + 2 = -6x + 4
Add 7x to both sides
2 = x + 4
Subtract 4 from both sides
-2 = x
Plug -2 into one of the original equations and solve for y.
y = (-3/4)(-2) + (1/2)
y = (3/2) + (1/2)
y = 2
(-2, 2)
User Benjamin Hackl
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