$$(4x+3y=14$$
$x=-\frac{3y}{4}+\frac{7}{2}$
$$4x=14-3y$$
$$\frac{4x}{4}=\frac{14-3y}{4}$$
$$x=\frac{14-3y}{4}$$
$$x=-\frac{3y}{4}+\frac{7}{2}$$
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$y=\frac{14-4x}{3}$
$$3y=14-4x$$
$$\frac{3y}{3}=\frac{14-4x}{3}$$
$$y=\frac{14-4x}{3}$$
