Katniss and Peeta find the sum of their ages which is 50 years. Peeta is five years older than Katniss. What are their ages?
1 answer:
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Answer:
x = , y =
Step-by-step explanation:
1. Isolate for x in one of the equations:
2x = 9x - 14y
2x-9x = 9x-9x -14y
-7x = -14y
-7x/-7 = -14y/-7
x = 2y
2. Substitute 2y in for x in the second equation:
9(2y) = 40 - 14y
3. Simplify:
18y = 40 - 14y
4. Isolate for y:
18y+14y = 40 -14y+14y
32y = 40
32y/32 = 40/32
y =
5. Substitute the new y-value into the simplified expression x = 2y:
x = 2(5/4)
x =
hope this helps!