By substituting into the equation, identify whether the following statements are true or false.

a

$x=6$`x`=6 is a solution for the equation $8x=51$8`x`=51.

True

A

False

B

True

A

False

B

b

$x=4$`x`=4 is a solution for the equation $2x=2\times4$2`x`=2×4.

True

A

False

B

True

A

False

B

c

$x=19$`x`=19 is a solution for the equation $\frac{x}{2}=8$`x`2=8.

True

A

False

B

True

A

False

B

d

$x=24$`x`=24 is a solution for the equation $\frac{x}{3}=8$`x`3=8.

True

A

False

B

True

A

False

B

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Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = 1 for cases in which p, q, and x are all nonnegative rational numbers.