Question

Determine which point is the solution to the given system.
y = 7x – 26
y = 4x – 11

Answer 1

(x , y) → (5, 9)

Since both equations express y in terms of x we can equate them

7x - 26 = 4x - 11

subtract 4x from both sides

7x - 4x - 26 = - 11

3x - 26 = - 11

add 26 to both sides

3x = - 11 + 26 = 15

divide both sides by 3

x =
`(15)/(3)` = 5

substitute x = 5 into either of the 2 equations for y

y = (4 × 5) - 11 = 20 - 11 = 9

solution is (5, 9)