Answer:
Step-by-step explanation:
Let's solve the given system of linear equations:
a+b = 13
0.750 + 1.15b = 12.55
Let's eliminate b. To do this, solve the first equation for b, obtaining b = 13 - a, and then substitute 13 - a for b in the second equation:
0.750 + 1.15(13 - a) = 12.55.
Next, subtract 0.750 from both sides, obtaining: 1.15(13 - a) = 11.8
Dividing both sides by 1.15 yields 13 - a = 10.26
Then a = 13 - 10.26, or a = 2.74.
Since a + b = 13, b = 13 - 2.74, or 10.26
This person bought 2.74 pounds of apples and 10.26 pounds of bananas.
