The equations are
\Multiply the equation (2) by 3.
\Add equation (4) and Equation (3).
\Multiply the equation (2) by 4.
\Add equation (6) and Equation (1).
\Find the Greatest Common factor (GCF) for the numbers 21, 45, 54.
\Prime factors of 27:
Prime factors of 45:
Prime factors of 54:
There is two 3 in common. The GCF is
Divide each side of the equation (5) by GCF.
\Add equation (6) and Equation (1).
\Divide each side of the equation by 3.
\Substitute 3 for b in equation (1).
\ (Subtract 6 from each side).
(Subtract;
).
(Divide each side by 3).
Substitute 7 for a and 3 for b in equation (2).
\ (Multiply:
)
(Subtract:
)
(Subtract 14 from each side).
(Subtract:
)
The solutions is
The solution is .