Answer:
MP = 29
Step-by-step explanation:
MP = 5y + 9
MP = MN + NP
MP = 17 + 3y
Step 1 - As both equations are equal to MP:
3y + 17 = 5y + 9
Step 2 - Subtract 9 from both sides to isolate the 5y:
3y + 17 - 9 = 5y + 9 - 9
3y + 8 = 5y
Step 3 - Subtract 3y from both sides:
3y + 8 - 3y = 5y - 3y
8 = 2y
Step 4 - Divide both sides of the equation by 2:
[tex]\frac{8}{2} = \frac{2y}{2}\\4 = y[/tex]
Step 5 - Plug known variable y back into the equation:
5y + 9 = MP
5(4) + 9 = MP
20 + 9 = MP
MP = 29
Hope this helps!
