One of the lines in a pair of linear equations passes through the points and

MATHEMATICS · Single correct · AoPS · Mathematics · Multi-Variable Linear Equations · Multi-Variable Linear Equations

Problem

One of the lines in a pair of linear equations passes through the points (0,2)(0,2) and (4,6)(4,6). The other line is 3x+y=93x + y = 9. Find the point where the two lines intersect. (a) (72,112)(\dfrac{7}{2},\dfrac{11}{2}) (b) (32,92)(\dfrac{3}{2},\dfrac{9}{2}) (c) (74,154)(\dfrac{7}{4},\dfrac{15}{4}) (d) (114,34)(\dfrac{11}{4},\dfrac{3}{4})

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