Use cross-multiplication to solve the equation $\frac { x - 3 } { 4 } = \frac { 19 } { 24 }$ for x .
A) x= -$\frac { 13 } { 6 }$
B) x= $\frac { 37 } { 6 }$
C) x= -$\frac { 1 } { 6 }$
D) x= $\frac { 13 } { 6 }$
E) x= $\frac { 1 } { 6 }$

Question

Use cross-multiplication to solve the equation $\frac { x - 3 } { 4 } = \frac { 19 } { 24 }$ for x .
A)  x= -$\frac { 13 } { 6 }$
B) x= $\frac { 37 } { 6 }$
C)  x= -$\frac { 1 } { 6 }$
D)  x= $\frac { 13 } { 6 }$
E)  x= $\frac { 1 } { 6 }$

Quizplus · Accepted Answer

Cross-multiplication gives $24(x - 3) = 4 \cdot 19$. Simplifying, $24x - 72 = 76$, then $24x = 148$, and finally $x = \frac{148}{24} = \frac{37}{6}$.

Use Cross-Multiplication to Solve the Equation x−34=1924\frac { x - 3 } { 4 } = \frac { 19 } { 24 }4x−3​=2419​

Use Cross-Multiplication to Solve the Equation $\frac { x - 3 } { 4 } = \frac { 19 } { 24 }$