Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$( 7 x + 8 , 9 y + 6 ) = ( 6 x , 6 )$$

Answer

g=(6*x)/(7*x+8,9*y+6),6/(7*x+8,9*y+6)

Solution


Remove parentheses.
\[g(7x+8,9y+6)=6x,6\]
Break down the problem into these 2 equations.
\[g(7x+8,9y+6)=6x\]
\[g(7x+8,9y+6)=6\]
Solve the 1st equation: \(g(7x+8,9y+6)=6x\).
\[g=\frac{6x}{7x+8,9y+6}\]
Solve the 2nd equation: \(g(7x+8,9y+6)=6\).
\[g=\frac{6}{7x+8,9y+6}\]
Collect all solutions.
\[g=\frac{6x}{7x+8,9y+6},\frac{6}{7x+8,9y+6}\]
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