Given the graphs of f(x) = x – 1 and g(x) = –x – 7, what is the solution to the equation f(x) = g(x)?
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ANSWER
B. x=3,y=2
EXPLANATION
The given equations are
and
We add the two equations to eliminate y.
This implies that that:
Simplify:
Divide both sides by 2.
We put x=3 into any of the equations to find y.
Let us substitute x=3 into equation (1) to get:
Divide both sides by -3 to get;
The solution is therefore x=,y=2.