What you'd like to do is to solve the simultaneous equations
a-7b+8c=4
8a+4b-c=7
for a and b in terms of c.
Substitute the values of a and b in the expression a²+b²+c² and wait for the magic to happen.
If you do your math correctly, magic will happen.
My teacher said we are supossed to solve this using systems of equations:
Let a, b, and c be real numbers such that a-7b+8c=4 and 8a+4b-c=7. Then a^2-b^2+c^2= ?
can someone please help?! i don't know what method to use to solve this or where to start
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