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Q: X plus 2y equals 7 and 2x plus y equals 8?

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The slope of the line of 2x plus 2y equals 7 is (7/2x - 1).

Sum Numb!

(-1, 5)

(-1, 5)

They are parallel lines.

No. They are parallel.

If: 3x+2y = 5x+2y = 7 Then: 3x+2y = 7 and 5x+2y = 7 Subtract the 1st equation from the 2nd equation: 2x = 0 or x = o By substitution: x = 0 and y = 3.5

Multiply First equation by 2: 6y - 2x = 0Add second equation to this: 6y - 2x + 2x + 2y = 0 + 7Simplify: 8y = 7 so y = 0.875 and x = 2.625

x + 2y = 7 2y = -x + 7 y = -(x-7)/2 => -x/2 + 7/2 2x - y = 7 -y = -2x + 7 y = 2x + 7 Since -1/2 is the negative reciporical of 2, the slopes of these equations are perpendicular. Therefore, these two lines are perpendicular.

x = -2 and y = 3

3x + 2y = 7

2x = -7 - 8y

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