# SUBSTITUTION METHOD QUESTIONS 3

In this page substitution method questions 3 we are going to see solution of first question in the worksheet of substitution method.

What does mean by substitution method :

Solving system of equation by substitution method, involves solving any one of the given equation for either 'x' or 'y' and plugging that in the other equation and solve that equation for another variable.substitution method questions 3

Step 1 :

Solve any one of the equations either x = or y =

Step 2 :

Substitute the value that we got from step 1 in the other equation.

Step 3 :

Now we have got the value of any one of the variables x or y.

Step 4 :

Apply this value  in step 1 in order to get the value of other variable.

Let us see the following example problem to understand the substitution method.  Substitution method questions 3

## Substitution Method Questions 3

Question 3 :

Solve the following equations by substitution method

y  =  6x - 11 and -2x - 3y  =  -7

Solution :

y  =  6x - 11 ------(1)

-2x - 3y  =  -7 ------(2)

Substitute the value of y in the second equation, we get

-2x - 3(6x - 11)  =  -7

-2x - 18x + 33  =  -7

-20x + 33  =  -7

Subtract 33 on both sides

-20x + 33 - 33  =  -7 - 33

-20x  =  -40

Divide by -20 on both sides

-20x/(-20)  =  -40/(-20)

x  =  2

Substitute x  =  2 in the first equation, we get

y  =  6(2) - 11

y  =  12 - 11 ==>  1

Hence x = 2 and y = 1 is the solution

## More questions for practice

Question  1 :

Solve the following equations by substitution method

5 x - 3 y - 8 = 0  and 2x - 3 y - 5  = 0

Solution

Question  2 :

Solve the following equations using substitution method

5x - 3y - 8 = 0  and  2x - 3y - 5  = 0

Question  3 :

Solve the following equations by substitution method

y  =  6x - 11 and -2x - 3y  =  -7

Solution

Question  4 :

Solve the following equations by substitution method

2x − 3y = −1 and y = x − 1

Solution

Question  5 :

Solve the following equations by substitution method

y = −3x + 5 and 5x − 4y = −3

Question  6 :

Solve the following equations by substitution method

−3x − 3y = 3 and  y = −5x − 17

Solution

Question  7 :

Solve the following equations by substitution method

y = 5x − 7 and −3x − 2y = −12

Solution

Question  8 :

Solve the following equations by substitution method

−4x + y = 6 and −5x − y = 21

Solution

Question  9 :

Solve the following equations by substitution method

2x + y = 20 and 6x − 5y = 12

Solution

Question  10 :

Solve the following equations by substitution method

y = −2 and 4x − 3y = 18

Solution

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