Answer: When a system of two linear equations gives an answer of
, there are infinitely many solutions. It also means that the graph represents parallel lines, so the answer is the third choice.
Step-by-step explanation: When it comes to systems of equations in algebra, you will see three types of solutions:
1. When you get an exact value & number for x and y, the system has <u>one solution</u> and is consistent/independent.
2. When you get
like in this case, the system has <u>infinitely many solutions</u> and is consistent/dependent.
3. When you get numbers that are not equal, for example,
, you have <u>many solutions</u> and the system is inconsistent/independent.
Option (2.)approximately uniform
Set up a proportion.
The total side of the “top” line is 8 + 10 = 18. The total side of the “bottom” line is 45. This makes the ratio 18/45.
Now we are trying to find the “larger” bottom segment, let it be x. Because the lines are parallel, the ratio of the “larger” top and bottom segments is equal to the ratio of the whole top and bottom lines.
So 18/45 = 10/x
Reduce 2/5 = 10/x
Cross multiply 2x = 50
Solve x = 25
It does not contain an equal sign. It cannot be solved for unless the value of the variable is given.