Question

# Solve the following by substitution method 2x - 3y = 7 and x + 6y = 11.

Hint:

### find y by substituting x (in terms of y) in the equation and find x by substituting value of y in the equations .

## The correct answer is: x = 5 ; y = 1

### Ans :- x = 5 ; y = 1

Explanation :-

Step 1 :- find x by substituting x = 11-6y in eq 2.

Step 2 :- substitute value of y and find x

x = 5 and y = 1 is the solution of the given pair of equations.

### Related Questions to study

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For the solution of the system of equations above, what is the value of ?

**Note:**

The equations can be solved in many other ways like substitution

method which is: to eliminate one variable in any one of the

equations with the help of other equation. As we need to find the

value of x, we try to find the value of y in terms of x from one

equation. Then put that value of y in the other equation to get a linear equation in one variable , which is x.

For the solution of the system of equations above, what is the value of ?

**Note:**

The equations can be solved in many other ways like substitution

method which is: to eliminate one variable in any one of the

equations with the help of other equation. As we need to find the

value of x, we try to find the value of y in terms of x from one

equation. Then put that value of y in the other equation to get a linear equation in one variable , which is x.

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**Note:**

The definition of probability used above is the definition of theoretical probability or classical probability. There are many other terms in the concept of probability that the student must be familiar with to solve this question, such as event, outcome, favour able outcome, etc.

**Note:**

The definition of probability used above is the definition of theoretical probability or classical probability. There are many other terms in the concept of probability that the student must be familiar with to solve this question, such as event, outcome, favour able outcome, etc.