Solve for x
x=-\frac{4}{3y-14}
y\neq \frac{14}{3}
Solve for y
y=\frac{14}{3}-\frac{4}{3x}
x\neq 0
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Quiz
Linear Equation
5 problems similar to:
\frac { 4 } { x } + 3 y = 14 . \frac { 3 } { x } - 4 y = 23
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4+3yx=14x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
4+3yx-14x=0
Subtract 14x from both sides.
3yx-14x=-4
Subtract 4 from both sides. Anything subtracted from zero gives its negation.
\left(3y-14\right)x=-4
Combine all terms containing x.
\frac{\left(3y-14\right)x}{3y-14}=-\frac{4}{3y-14}
Divide both sides by 3y-14.
x=-\frac{4}{3y-14}
Dividing by 3y-14 undoes the multiplication by 3y-14.
x=-\frac{4}{3y-14}\text{, }x\neq 0
Variable x cannot be equal to 0.
4+3yx=14x
Multiply both sides of the equation by x.
3yx=14x-4
Subtract 4 from both sides.
3xy=14x-4
The equation is in standard form.
\frac{3xy}{3x}=\frac{14x-4}{3x}
Divide both sides by 3x.
y=\frac{14x-4}{3x}
Dividing by 3x undoes the multiplication by 3x.
y=\frac{14}{3}-\frac{4}{3x}
Divide 14x-4 by 3x.
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