Example

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

Question

$$( x + 2 , 4 ) = ( 5 , 2 x + y )$$

Answer

b=5/(x+2,4),(2*x+y)/(x+2,4)

Solution


Remove parentheses.
\[b(x+2,4)=5,2x+y\]
Break down the problem into these 2 equations.
\[b(x+2,4)=5\]
\[b(x+2,4)=2x+y\]
Solve the 1st equation: \(b(x+2,4)=5\).
\[b=\frac{5}{x+2,4}\]
Solve the 2nd equation: \(b(x+2,4)=2x+y\).
\[b=\frac{2x+y}{x+2,4}\]
Collect all solutions.
\[b=\frac{5}{x+2,4},\frac{2x+y}{x+2,4}\]
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