bx - cx = -c solve for x and find any restrictions
what is a restriction???????? HELPPPP
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jimthompson5910 (jim_thompson5910):
the idea is to isolate x
bx - cx = -c
x(b - c) = -c ... factor out the GCF x on the left side
x = -c/(b-c) .. divide both sides by b-c to isolate x
jimthompson5910 (jim_thompson5910):
now the question is: can b and c be any real numbers? or are there restrictions?
jimthompson5910 (jim_thompson5910):
btw a restriction is a condition that limits what a variable can be
for example, if you had 1/x, you can have x be any real number BUT x cannot be 0 (since you cannot divide by zero)
OpenStudy (anonymous):
OHHHHHHHHHH thanks so much this makes more sense
OpenStudy (anonymous):
@jim_thompson5910 there arnt any restrictions right??
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jimthompson5910 (jim_thompson5910):
there are actually
jimthompson5910 (jim_thompson5910):
b-c CANNOT be zero
if it were, then
b - c = 0
b - c + c = 0+c
b = c
so if b = c, then b-c is 0
jimthompson5910 (jim_thompson5910):
so the restriction (the only restriction) is that b cannot be equal to c
\[\large b \neq c\]
jimthompson5910 (jim_thompson5910):
make sense?
OpenStudy (anonymous):
oh ok thanks :)
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