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.