Solve for c. 6+(1)/(2)c=32 Answer: c=

Isolate term with c: Isolate the term containing c on one side of the equation. To do this, we need to subtract 6 from both sides of the equation to get the term with c by itself. 6 + (1/2)c - 6 = 32 - 6 This simplifies to: (1/2)c = 26Solve for c: Solve for c by multiplying both sides of the equation by the reciprocal of 1/2, which is 2. (1/2)c * 2 = 26 * 2 This simplifies to: c = 52Check solution: Check the solution by substituting the value of c back into the original equation. 6 + (1/2)(52) = 32 6 + 26 = 32 32 = 32 This shows that our solution is correct.

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Math Problems

Grade 7

Solve two-step equations with parentheses

Full solution

Q. Solve for

c

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6+\frac{1}{2} c=32

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Answer:

c=

Isolate term with c: Isolate the term containing $c$ on one side of the equation. $\newline$ To do this, we need to subtract $6$ from both sides of the equation to get the term with $c$ by itself. $\newline$ $6 + (\frac{1}{2})c - 6 = 32 - 6$ $\newline$ This simplifies to: $\newline$ $(\frac{1}{2})c = 26$
Solve for c: Solve for c by multiplying both sides of the equation by the reciprocal of $\frac{1}{2}$ , which is $2$ . $\left(\frac{1}{2}\right)c \times 2 = 26 \times 2$ This simplifies to: $c = 52$
Check solution: Check the solution by substituting the value of $c$ back into the original equation. $6 + (\frac{1}{2})(52) = 32$ $6 + 26 = 32$ $32 = 32$ This shows that our solution is correct.