Algebraic Techniques, SM-Bank 057

State the coefficients of \(\large x\) and \(\large y\) that make the expressions below equivalent? (2 marks)

\(9x+3y-\)

\(x+\)

\(y=6x+8y\)

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\(3 , 5\)

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\(9x+3y-\)

\(x+\)

\(y=6x+8y\)

\(\text{Equating the }x\ \text{values}\longrightarrow\)	\(9x-\)		\(x=6x\)
	\(\therefore\ \)		\(=3\)

\(\text{Equating the }y\ \text{values}\longrightarrow\)	\(3y+\)		\(y=8y\)
	\(\therefore\ \)		\(=5\)