Solve the equation. {:[27=15+n],[n=◻]:}

Identify Goal: Identify the goal of the problem. We need to find the value of n that satisfies the equation 27 = 15 + n.Isolate Variable: Isolate the variable n on one side of the equation. To do this, we subtract 15 from both sides of the equation to get n by itself. 27 - 15 = 15 + n - 15Perform Subtraction: Perform the subtraction on both sides. 27 - 15 = 12 15 - 15 = 0 So, the equation simplifies to: 12 = nCheck Solution: Check the solution. Substitute n = 12 back into the original equation to verify if it is correct. 27 = 15 + 12 27 = 27 Since both sides of the equation are equal, the solution n = 12 is correct.

Home

Math Problems

Grade 8

Write an equation word problem

Full solution

Q. Solve the equation.

\newline

\begin{array}{l} 27 = 15 + n \\ n = \square \end{array}

Identify Goal: Identify the goal of the problem. $\newline$ We need to find the value of $n$ that satisfies the equation $27 = 15 + n$ .
Isolate Variable: Isolate the variable $n$ on one side of the equation. $\newline$ To do this, we subtract $15$ from both sides of the equation to get $n$ by itself. $\newline$ $27 - 15 = 15 + n - 15$
Perform Subtraction: Perform the subtraction on both sides. $\newline$ $27 - 15 = 12$ $\newline$ $15 - 15 = 0$ $\newline$ So, the equation simplifies to: $\newline$ $12 = n$
Check Solution: Check the solution. $\newline$ Substitute $n = 12$ back into the original equation to verify if it is correct. $\newline$ $27 = 15 + 12$ $\newline$ $27 = 27$ $\newline$ Since both sides of the equation are equal, the solution $n = 12$ is correct.