Question

Which equation, when solved, results in a different value of x than the other three?

Answer 1

Solve each one to find that D is the answer

Answer 2

Answer:  The correct equation is (D) $8.3-0.6x=11.3.$

Step-by-step explanation:  We are to select the equation that results in a different value of 'x' than the other three equations.

Let us solve the equations one by one.

(A). We have

$8.3=-0.6x+11.3\\\\\Rightarrow -0.6x=8.3-11.3\\\\\Rightarrow -0.6x=-3\\\\\Rightarrow x=\dfrac{3}{0.6}\\\\\Rightarrow x=5.$

(B) We have

$11.3=8.3+0.6x\\\\\Rightarrow 0.6x=11.3-8.3\\\\\Rightarrow 0.6x=3\\\\\Rightarrow x=\dfrac{3}{0.6}\\\\\Rightarrow x=5.$

(C) We have

$11.3-0.6x=8.3\\\\\Rightarrow 0.6x=11.3-8.3\\\\\Rightarrow 0.6x=3\\\\\Rightarrow x=\dfrac{3}{0.6}\\\\\Rightarrow x=5.$

(D) We have

$8.3-0.6x=11.3\\\\\Rightarrow -0.6x=11.3-8.3\\\\\Rightarrow -0.6x=3\\\\\Rightarrow x=-\dfrac{3}{0.6}\\\\\Rightarrow x=-5.$

Therefore, we see that the solution of the first three equations is x = 5 and the solution of the last equation is  x = - 5.

Thus, the equation (D) results in a different value of 'x' when solved.Option (D) is correct.