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Find the point of intersection of the lines y=2x-7 and 4y-2=3x

Substitute y into 4y-2=3x

4(2x-7)-2=3x -> 8x-28-2=3x -> 8x-3x=28+2 -> 5x=30 -> x=30/5 -> x=6

subsitute x into y=2x-7

y=2(6)-7 -> y=12-7 -> y=5

Point = ( 6 , 5 )

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Answered by India G. • Maths tutor

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