Question

Find the coordinates of the point of intersection of the line with equation 3x+4y=10 and the line with equation 5x-6y=23 Show your working clearly.

Answer 1

Answer:

point of intersection =(x,y) = (4, -1/2)

Step-by-step explanation:

3x+4y=10 ----(1)

5x-6y=23 ----(2)

5×equation(1) : 15x+20y = 50

3×equation(2): 15x-18y = 69

- + -

---–-------------------------------------

0 + 38y = -19

=> 38y = -19

=> y = -19/38= = -1/2

putting value of y in equation (1),

3x+4y=10

=> 3x+4×(-1/2)=10

=> 3x -2 = 10

=> 3x = 10+2 =12

=> x = 12/3 =4