Question

Part 1:
For the following system of equations, write your own real world scenario that describes what is happening. Use complete sentences and correct grammar in your scenario.

Part 2:
Solve the system and explain what the results mean according to your scenario.

2x + y = 11
3x + 4y = 24

Answer 1

no

Answer 2

?

Answer 3

Twice Bob's age + Alice's age = 11;
Thrice Bob's age + 4x Alice's age = 24;

find their ages?

Answer 4

ok how could i find their ages?
bc 3 times bobs age= + 4 times alices age = 24
like idk how to find them

Answer 5

To solve, rearrange the first equation:
y=11-2x

then substitute y into the second equation.
3x + 4(11-2x) = 24
3x+44-8x = 24
-5x = -20
x = 4

So Bob is age 4.
sub in known value into either equation.
2(4)+y=11
8+y=11
y=3

So Alice is age 3.

Then check:
2(4)+(3) is equal to 11
3(4)+4(3) is equal to 24.
So there is the solution

Answer 6

oh ok i see now, thank you

Answer 7

no probs ;)