Y = 3x + 17

y = 4x + 24

( - 7, - 4)

Step-by-step explanation:

Given the 2 equations

y = 3x + 17 → (1)

y = 4x + 24 → (2)

Since both equations express y in terms of x, equate the right sides

4x + 24 = 3x + 17 (subtract 3x from both sides)

x + 24 = 17 (subtract 24 from both sides)

x = - 7

Substitute x = - 7 into either of the 2 equations and solve for y

Substituting x = - 7 in (1)

y = 3 ( - 7) + 17 = - 21 + 17 = - 4

Solution is ( - 7, - 4)

Step-by-step explanation:

y = 3x + 17 ... (1)

y = 4x + 24 ... (2)

Substituting (2) into (1)

4x + 24 = 3x + 17

4x - 3x = 17 - 24

x = - 7

And y = 3x + 17

y = 3 (-7) + 17

y = - 21 + 17

y = - 4