Question

What are the intersection points of 2x+3y=11 and 2y=13-3x

Answer 1

Answer:(17/5,7/5)

Step-by-step explanation:2x+3y=11...(1)×2

2y+3x=13

3x+2y=13...(2)×3

4x+6y=22...(3)

9x+6y=39...(4)

(4)-(3)

5x=17

x=17/5

Substituting in (1),

34/5+3y=11

34+15y=55

15y=55-34

15y=21

y=21/15=7/5

So the intersection point is (17/5,7/5)

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Answer 2

Step-by-step explanation:

1 . 2x + 3 y = 11

2. 2y = 13 - 3x

2x+3y-11 = 0

3x -2y -13 = 0

a1 /a2 = b1/ b2

2/3 = 3/ -2

2/3 ≠3/-2

so, this solution has only one unique solution