Answer:
[tex]x=7[/tex]
[tex]y=-7[/tex]
or
[tex](7,-7)[/tex]
Step-by-step explanation:
[tex]y = -8x-49\\y=-x[/tex]
Begin by substituting [tex]-x[/tex] for [tex]y[/tex] in the first equation given:
[tex]-x=-8x-49[/tex]
Add [tex]8x[/tex] to both sides of the equation:
[tex]-7x=49[/tex]
Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]-7[/tex]:
[tex]x=7[/tex]
Now, substitute the [tex]x[/tex] value into the second equation given:
[tex]y=-(7)[/tex]
Distribute the negative:
[tex]y=-7[/tex]
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You can check your work by substituting the solved values into one of the given equations. Let's use the second one, as it will be easier to work with:
[tex]y=-x[/tex]
[tex]-7=-(7)[/tex]
[tex]-7=-7[/tex]
Since the sides of the equation are equal to each other, our solution is correct!
