Question

1.x-1=5

2.2(x-1)=10

3.3(x-1)=15

Someone tell me step by step how to do these

Answer 1

1) x = 6

2) x = 6

3) x = 6

Step-by-step Step-by-step explanation:

Concept :

Here, we will use the below following steps to find a solution using the transposition method:

• Step 1 :- we will Identify the variables and constants in the given simple equation.
• Step 2 :- then we Simplify the equation in LHS and RHS.
• Step 3 :- Transpose or shift the term on the other side to solve the equation further simplest.
• Step 4 :- Simplify the equation using arithmetic operation as required that is mentioned in rule 1 or rule 2 of linear equations.
• Step 5 :- Then the result will be the solution for the given linear equation.

Solution :

1) x-1=5

`\begin{gathered} \qquad{\longrightarrow{\tt{x - 1 = 5}}} \\ \\ \qquad{\longrightarrow{\tt{x = 5 + 1}}} \\ \\ \qquad{\longrightarrow{\tt{\underline{\underline{\red{x = 6}}}}}}\end{gathered}`

• Hence, the value of x is 6.

`\begin{gathered}\end{gathered}`

2) 2(x-1)=10

`\begin{gathered} \qquad{\dashrightarrow{\tt{2(x - 1) = 10}}} \\ \\ \qquad{\dashrightarrow{\tt{2 * x - 2 * 1 = 10}}} \\ \\ \qquad{\dashrightarrow{\tt{2x - 2 = 10}}} \\ \\ \qquad{\dashrightarrow{\tt{2x = 10 + 2}}} \\ \\ \qquad{\dashrightarrow{\tt{2x = 12}}} \\ \\ \qquad{\dashrightarrow{\tt{x = (12)/(2)}}} \\ \\ \qquad{\dashrightarrow{\tt{\underline{\underline{\pink{x = 6}}}}}}\end{gathered}`

• Hence, the value of x is 6.

`\begin{gathered}\end{gathered}`

3) 3(x-1)=15

`\begin{gathered} \qquad{\longmapsto{\tt{3(x - 1) = 15}}}\\\\\qquad{\longmapsto{\tt{3 * x - 3 * 1 = 15}}}\\\\\qquad{\longmapsto{\tt{3x - 3 = 15}}}\\\\\qquad{\longmapsto{\tt{3x = 15 + 3}}}\\\\\qquad{\longmapsto{\tt{3x = 18}}}\\\\\qquad{\longmapsto{\tt{x = (18)/(3)}}}\\\\\qquad{\longmapsto{\tt{\underline{\underline{\purple{x = 6}}}}}}\end{gathered}`

• Hence, the value of x is 6.

`\rule{300}{2.5}`

Answer 2

1.

x - 1 = 5

x = 5 - 1

x = 4

2.

2(x-1)=10

2x - 2 = 10

2x = 10 + 2

2x = 12

x = 12÷2

x = 12/2

x = 6

3.

3(x-1)=15

3x - 3 = 15

3x = 15 + 3

3x = 18

x = 18÷3

x = 18/3

x = 6