Question

X + 1/7x = 19. What is x?​

Answer 1

Answer:

16.625

Step-by-step explanation:

(1/7)x + x = 19

Isolate the variable. Note the equal sign, what you do to one side, you do to the other. First, multiply 7 to all terms inside the equation.

(7)(1/7)x + (7)(x) = (7)(19)

x + 7x = 133

Simplify. Combine like terms.

x + 7x = 133

8x = 133

Isolate the variable x. Divide 8 from both sides.

(8x)/8 = (133)/8

x = 133/8

x = 16.625

16.625 is your answer for x.

~

Answer 2

$\bf x+\cfrac{1}{7}x=19\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{7}}{7\left( x+\cfrac{1}{7}x \right)=7(19)}\implies 7x+x=133 \\\\\\ 8x=133\implies x=\cfrac{133}{8}\implies x=16\frac{5}{8}$