What is the intersection point for #y = 3x - 4# and #2x - y = 1#?

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What is the intersection point for #y = 3x - 4# and #2x - y = 1#?

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Answer 1 · 2015-03-28T15:11:07

#y=3x-4#
#2x-y = 1#

The first equation gives us an immediate expression for #y# which we can substitute into the second equation:
#2x-(3x-4) = 1#
#rarr -x + 4 = 1#
#rarr x=3#

Substituting #x=3# back into the first equation:
#y = 3(3)-4#
#rarr y=5#

The given lines intersect (have a common solution at)
#(x,y) = (3,5)#

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What is the intersection point for #y = 3x - 4# and #2x - y = 1#?

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