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Gabi tried to solve an equation step by step. \qquad\begin{aligned} 0.1(0.5m+6)&=2\\\\ \\ 0.5m+6&=20&\green{\text{Step } 1}\\\\ \\ 0.5m&=14&\blue{\text{Step } 2}\\\\ \\ m&=7&\purple{\text{Step } 3}\\\\ \end{aligned} 0.1(0.5m+6) 0.5m+6 0.5m m ​ =2 =20 =14 =7 ​ Step 1 Step 2 Step 3 ​ Find Gabi's mistake. Choose 1 answer: Choose 1 answer: (Choice A) A \green{\text{Step }1}Step 1start color #28ae7b, start text, S, t, e, p, space, end text, 1, end color #28ae7b (Choice B) B \blue{\text{Step }2}Step 2start color #6495ed, start text, S, t, e, p, space, end text, 2, end color #6495ed (Choice C) C \purple{\text{Step }3}Step 3start color #9d38bd, start text, S, t, e, p, space, end text, 3, end color #9d38bd (Choice D) D Gabi did not make a mistake.

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Answer: Step 3 was Gabi's mistake

The solution of the Gabi's equation is m = 28. the Gabi's mistake was division in step 3.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Step 1:  Distribute

0.1(0.5m + 6) = 2

(0.1 * 0.5m) + (0.1 * 6) = 2

0.05m + 0.6 = 2

Step 2:  Subtract 0.6 from both sides

0.05m + 0.6 - 0.6 = 2 - 0.6

0.05m = 1.4

Step 3:  Divide both sides by 0.05

0.05m / 0.05

= 1.4 / 0.05

m = 28

Hence, the solution of the Gabi's equation is m = 28. the Gabi's mistake was division in step 3.

Learn more about equations here;

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