Question

draw the graph of the equation 2x+3y=5 and x-2y=13 on the same graph.Find the coordinates of the points where their graphs intersect each other

Answer 1

Answer:

x = 7

y = -3

Step-by-step explanation:

2x + 3y = 5   L1

 x  - 2y = 13  L2

x = 13 + 2y

2(13+2y) + 3y = 5

26 + 4y + 3y = 5

26 + 7y = 5

7y = 5 - 26

7y = -21

y = -21/7

y = -3

x = 13 + 2y

x = 13 + 2(-3)

x = 13 - 6

x = 7

2x + 3y = 5   L1

 x  - 2y = 13  L2

2(0) + 3y = 5

0 + 3y = 5

y = 5/3

2x + 3(0) = 5

2x + 0 = 5

x = 5/2

x  - 2y = 13

0 - 2y = 13

y = -13/2

x - 2(0) = 13

x - 0 = 13

x = 13