Solve by graphing. 2x=-y+1 2x-y=5

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sciencesolve | Teacher | (Level 3) Educator Emeritus

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Equating both expressions of 2x yields:

-y + 1 = 5 + y

You need to isolate y variable to the left side such that:

-y - y = 5 - 1

-2y = 4 => y = -2 = -2

Plugging y in the first equation yields:

2x = -(-2) + 1 => 2x = 3 => x = `3/2`

The solution to the system of equations is the point of intersection of the lines 2x = -y+1; 2x = 5+y.

The coordinates of the point of intersection: (`3/2`  ; -2).

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