Q: Is 2x plus 3y equals 8 n 4x plus 6y equals 15 inconsistent?

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2x - y = 15 2x + 3y = -21 As you observe both equations (having different slopes), you see that the system is consistent, and it has only one solution.

X=7

Inconsistent linear equations in two variables.

x2 + 2x - 15 = (x - 3)(x + 5)

4x - 7 = 2x + 15 4x = 2x +222x = 22x = 11

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2x - y = 15 2x + 3y = -21 As you observe both equations (having different slopes), you see that the system is consistent, and it has only one solution.

X=7

Inconsistent linear equations in two variables.

x2 + 2x - 15 = (x - 3)(x + 5)

2x + 8 + x = 2x + 15 simplify 2x to both sides since they have the same sign8 + x = 15 subtract 8 to both sidesx = 7

4x - 7 = 2x + 15 4x = 2x +222x = 22x = 11

x=4

x = 2

8x = 2x + 15 6x = 15 x = 15/6 = 2.5

5X + 6 = 2X + 15 -2X -2X 3X + 6 = 15 -6 -6 3X = 15 ---- ----- 3 3 x = 5 im so smart.

-7 +2x = x + 8 2x - x = 7 + 8 x = 15

x = -5