x – 2y = 3 5x 3y = 2 The lines whose equations are shown intersect at which point?

x – 2y = 3

5x + 3y = 2

4 Answers

  • x=3+2y

    5(3+2y)+3y=2

    15+13y=2

    y=-1

    x=1

  • x= 2y+3

    and 5x=2 – 3y —> x=2- 3y/5

    You say x=x

    2y+3 = 2 – 3y/5

    you get 10y+3y= -15+2

    13y=-13

    y=-1

    You substitute y in the equation x= 2y+3 to get x=2(-1) + 3

    x= 1

    so the point of intersection is (1,-1)

  • x – 2y = 3

    5x + 3y = 3

    3x – 6y = 9

    10x + 6y = 6

    13x = 15

    x = 15/13

    15/13 – 2y = 3

    2y = 15/13 – 3

    2y = 15/13 – 39/13

    2y = -24/13

    y = -12/13

    So, the lines intersect at point (15/13, -12/13).

  • On factorising the two expressions, it extremely is (x – 2) (x – 3) __________ (x + 5) (x – 3) the elementary aspects cancel out leaving, (x – 2) _____ (x + 5) As for the 2d questions, it ought to help to rephrase to be clearer.

Leave a Comment