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Find the point of intersection of the lines x plus 2y equals 8 and 3x -y equals 3?
Wiki User
∙ 14y ago
x + 2y = 8
3x - y = 3
Need to rearrange first for easier calculation (get y and x on different sides) so...
x + 2y = 8 is the same as 2y = 8 - x is the same as y = 4 - 0.5x
3x - y = 3 is the same as y = 3x - 3
Lines intersect when the functions equal each other
y=y
4 - 0.5x = 3x - 3
7 - 0.5x = 3x
7 = 3.5x
2 = x
put x value into either equation to find y value
y = 3(2) - 3
y = 3
Lines intersect at point (2,3)
Wiki User
∙ 14y ago
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