MATHEMATICS HIGH SCHOOL

Given the system of linear equations: 2x+1/2y=7
6x-1/2y=5

which new equation would be the result of adding the equations together?

4x=2

8x=2

8x=12

y=12

Answers

Answer 1
Answer:

Answer:

8x=12 cause y would cancel out and then you just add 2 and 6, and 7 and 5.
Answer 2
Answer:

Final answer:

When the given system of equations is added together, the y terms cancel each other out, leaving '8x = 12' as the result.

Explanation:

Given the system of linear equations:

2x + 0.5y = 7

6x - 0.5y = 5

When we add these two equations together, the y terms will cancel out because one is positive (+0.5y) and one is negative (-0.5y). Thus, we will be left with the x terms and the constants. Adding the x terms (2x + 6x) gives 8x, and adding the constants (7 + 5) results in 12. Therefore, the new equation resulting from adding the two given equations together is 8x = 12.

Learn more about Linear Equations here:

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