Solve the given system, using the substitution method.
y=3x–4
9x–3y=14
A.
There is no solution.
B.
(12, 14)
C.
(14, 12)
D.
There are an infinite number of solutions.
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OpenStudy (anonymous):
So do you know what the first step is?
OpenStudy (anonymous):
Its A. By the way
OpenStudy (anonymous):
y=3x-4
9x-3y=14
sub in 3x-4 in for y in the 2nd equation
9x-3(3x-4)=14
9x-9x+12=14 ----- subtract 12 from each side
9x-9x=14-12
0=2
which is not right no answers
OpenStudy (anonymous):
thanks @GretaKnows
OpenStudy (anonymous):
did I do the math right?
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OpenStudy (anonymous):
i need to make sure because state testing is this month
OpenStudy (jdoe0001):
well yes
OpenStudy (anonymous):
thank you
OpenStudy (anonymous):
Yeah. SInce 9x-9x is 0. x does not equal anything therefore there is no solution
OpenStudy (jdoe0001):
another way to see it is
y=3x–4
9x–3y=14
y=3x-4 <---- slope is "3"
9x -3y - 14
-3y = -9x - 14
y = 3x +(14/3) <---- slope is "3"
same slope, lines are parallel, no solution, they never touch