Question

solve in substituion method
5x - 2b = 1
x = 5 -26​

Answer 1

// Solve equation [1] for the variable  a  

 

 [1]    a = -2b + 5

// Plug this in for variable  a  in equation [2]

  [2]    5•(-2b+5) + 2b = 1

  [2]     - 8b = -24

// Solve equation [2] for the variable  b  

  [2]    8b = 24  

  [2]    b = 3  

// By now we know this much :

   a = -2b+5

   b = 3

// Use the  b  value to solve for  a  

   a = -2(3)+5 = -1

Answer 2

Correct question :-

Solve by using substitution method.

• 5x - 2b = 1
• x = 5 - 2b

Answer :-

★ x = 1

★ b = 2

Step-by-step explanation :-

We are given 2 equations in 2 variables. Those 2 equations are:

1. 5x - 2b = 1
2. x = 5 - 2b

For solving this question by substitution method, just substitute the algebraic value of x in the First Equation and you get the value of b. Then, again substitute the value of b in Equation 2 for finding the value of x which completes the question.

5x - 2b = 1

⇒ 5 (5 - 2b) - 2b = 1

⇒ 25 - 10b - 2b = 1

⇒ 25 - 12b = 1

⇒ 25 - 12b - 1 = 0

⇒ 25 - 1 = 12b

⇒ 12b = 24

⇒ b = 24 ÷ 12

⇒ b = 2

∴ The value of b is 2

Substitute the value of b in Equation 2 for finding out the value of x.

x = 5 - 2b

⇒ x = 5 - 2(2)

⇒ x = 5 - 4

⇒ x = 1

∴ The value of x is 1