Answer:
Option C. 
Step-by-step explanation:
we know that
If a system of two linear equations has an infinite number of solutions, then both equations must be identical
The given equation is
<u><em>Verify each case</em></u>
Option A. we have
apply distributive property
Compare with the given equation
Option B. we have
remove the parenthesis
Compare with the given equation
Option C. we have
apply distributive property
Compare with the given equation
therefore
This equation with the given equation form a system that has an infinite number of solutions
Option D. we have
Compare with the given equation
I hope this helps you
49 <61 <64
7^2 <61 <8^2
7<square root of 61 <8
If you divide 36 by 4, it equals 9, so each side is 9. Then you multiply 9 to 9, which equals 81 in^2.
1. the answer is 24. think of x as the original amount, and y as the new amount. y times 1.5 is x, and y+12 is x. reverse that to figure out y, which is what we need, and you have x/1.5 = y as well as x-12 = y. Use the equal values method and make an equation x/1.5=x-12. solve this equation to get x, which is 36. to figure out the new amount, y, you need to subtract 12, which would help you get 24 as your final answer.
2. once again, create an equation. let's call team 1 x and team 2 y. team one has 1/4th as many as team 2, so that would be x=1/4y. An easier way to write that is 4x=y. after 6 people quit team two, that would be y-6. after the transfer, that would be y-6-12, and x+12 for the teams. they are equal after these, so y-6-12=x+12. solve this equation to get y-18= x+12. if you recall earlier, y was 4 times x, so substitute that into y to get 4x-18=x+12. Solve the equation to get 10 people on team one originally. your final answer is 10 people.
