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Sagot :

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]

Step-by-step explanation:

Step 1:  Solve problem 1

[tex]3x - 5 + 5 = 25 + 5[/tex] → Add 5 to both sides

[tex]3x/3 = 30/3[/tex] → Divide 3 from both sides

[tex]x = 10[/tex]

Step 2:  Solve problem 2

[tex]-4x + 6 - 6 = 26 - 6[/tex] → Subtract 6 from both sides

[tex]-4x / -4 = 20 / -4[/tex] → Divide -4 from both sides

[tex]x = -5[/tex]

Step 3:  Solve problem 3

[tex]7x - 8 + 8= -50 + 8[/tex] → Add 8 to both sides

[tex]7x / 7 = -42 / 7[/tex] → Divide 7 from both sides

[tex]x = -6[/tex]