Solve the proportion for the variable. $\frac { x + 17 } { 5 } = \frac { 2 ( x - 1 ) } { 2 }$
A) $15$
B) $\frac { 11 } { 2 }$
C) $- \frac { 15 } { 2 }$
D) $\frac { 2 } { 13 }$
E) $- \frac { 13 } { 2 }$

Question

Quizplus · Accepted Answer

First, we can simplify the right side of the equation by canceling the 2's:
$$
\frac{x+17}{5} = \frac{2(x-1)}{2} = x-1
$$
Then we can cross-multiply to get rid of the fractions:
$$
x+17 = 5(x-1) = 5x-5
$$
Next, we can solve for x by isolating it on one side of the equation:
$$
x+17 = 5x-5 \quad \Rightarrow \quad
22 = 4x \quad \Rightarrow \quad
x = \frac{22}{4} = \frac{11}{2}
$$
Therefore, the answer is B.

Solve the Proportion for the Variable x+175=2(x−1)2\frac { x + 17 } { 5 } = \frac { 2 ( x - 1 ) } { 2 }5x+17​=22(x−1)​

Solve the Proportion for the Variable $\frac { x + 17 } { 5 } = \frac { 2 ( x - 1 ) } { 2 }$