Answer:
1) Value of x = 10
2) Valye of x = -5
3) Valye of x = -6
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.
[tex]\begin{gathered}\end{gathered}[/tex]
Solution :
1) 3x - 5 = 25
[tex]\twoheadrightarrow{\sf{3x - 5 = 25}}[/tex]
[tex]\twoheadrightarrow{\sf{3x = 25 + 5}}[/tex]
[tex]\twoheadrightarrow{\sf{3x = 30}}[/tex]
[tex]\twoheadrightarrow{\sf{x = \dfrac{30}{3} }}[/tex]
[tex]\twoheadrightarrow{\sf{x = \cancel{\dfrac{30}{3}}}}[/tex]
[tex]\twoheadrightarrow{\sf{x = 10}}[/tex]
[tex]\star{\underline{\boxed{\bf{\red{x = 10}}}}}[/tex]
Hence, the value of x is 10.
[tex]\begin{gathered}\end{gathered}[/tex]
2) -4x + 6 = 26
[tex]\twoheadrightarrow{\sf{ - 4x + 6= 26}}[/tex]
[tex]\twoheadrightarrow{\sf{ - 4x= 26 - 6}}[/tex]
[tex]\twoheadrightarrow{\sf{ - 4x= 20}}[/tex]
[tex]\twoheadrightarrow{\sf{x= \dfrac{20}{ - 4}}}[/tex]
[tex]\twoheadrightarrow{\sf{x= \cancel{\dfrac{20}{ - 4}}}}[/tex]
[tex]\twoheadrightarrow{\sf{x= - 5}}[/tex]
[tex]\star{\underline{\boxed{\bf{\red{x = - 5}}}}}[/tex]
Hebce, the value of x is -5.
[tex]\begin{gathered}\end{gathered}[/tex]
3) 7x - 8 = -50
[tex]\twoheadrightarrow{\sf{7x - 8 = - 50}}[/tex]
[tex]\twoheadrightarrow{\sf{7x = - 50 + 8}}[/tex]
[tex]\twoheadrightarrow{\sf{7x = - 42}}[/tex]
[tex]\twoheadrightarrow{\sf{x = \dfrac{ - 42}{7} }}[/tex]
[tex]\twoheadrightarrow{\sf{x = \cancel{\dfrac{ - 42}{7}}}}[/tex]
[tex]\twoheadrightarrow{\sf{x = - 6}}[/tex]
[tex]\star{\underline{\boxed{\bf{\red{x = - 6}}}}}[/tex]
Hence, the value of x is -6.
[tex]\rule{300}{1.5}[/tex]
