Question

The lines y = 5x -3 and y = ax +5 intersect when x = 13. What is the value of a?

Answer 1

a=
`(57)/(13)`

Explanation:

Find the value of y by subbing in x

y = 5x-3

y = 5(13) - 3

y = 62

Sub x and y into the 2nd equation, Solve for a

62 = a (13) + 5

62 = 13a + 5

57 = 13a

a=
`(57)/(13)`