See in the explanation:
Explanation:
Here we have the following system of linear equations in two variables:
[tex](1) \ 2x+7y=-8 \\ \\ (2) \ 2x-5y=-1[/tex]
So if you graph these two equations you will get two lines with different slopes. The question is:
What is the result of subtracting the second equation from the first?
So this can be written mathematically as:
[tex]2x+7y-(2x-5y)=-8-(-1) \\ \\ Breaking \ parentheses: \\ \\ 2x+7y-2x+5y=-8+1 \\ \\ \\ Combining 'like 'terms: \\ \\ 2x-2x+7y+5y=-7 \\ \\ 12y=-7 \\ \\ y=-\frac{7}{12}[/tex]
So the result of subtracting the second equation from the first is:
[tex]12y=-7[/tex]
and from this we can calculate y.
Learn more:
Methods for solving System of Linear Equations:
https://brainly.com/question/10185505
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