ACC100

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Problem	Step	Explanation
1.	$4 x - 2 y + 3 z = 10 x - 6 y + 3 z$	solve for x
	$4 x - 4 x - 2 y + 3 z = 10 x - 4 x - 6 y + 3 z$	all x terms on one side of equation
	$- 2 y + 3 z = 6 x - 6 y + 3 z$	combine like terms
	$4 y + 3 z = 6 x + 3 z$	combine like terms
	$4 y + 3 z - 3 z = 6 x + 3 z - 3 z$	move all z terms to opposite side
	$4 y = 6 x$	combine like terms
	$\frac{4 y}{6} = \frac{6 x}{6}$	divide both sides by coefficient of x
	$\frac{2 y}{3} = x$	reduce fraction to lowest form