Question

Determine the solution to each linear system by using the substitution method

2x+3y=34
y=5x


(2, 10)
(2, -6)
(-3, 5)
(4, 3)

Answer 1

put y = 5x in equation 1 :

2x + 3 (5x) = 34

2x + 15x = 34

17x = 34

x = 2

Now put x = 2 in any of the two equation to get

y :

y = 5x

y = 5 × 2

y = 10