In this page substitution method questions 5 we are going to see solution of first question in the worksheet of substitution method.

**What is 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 2

**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 5

**Question 5 :**

Solve the following equations by substitution method

y = −3x + 5 and 5x − 4y = −3

**Solution :**

y = −3x + 5 -------(1)

5x − 4y = −3 -------(2)

Substitute y = -3x + 5 in the second equation

5x - 4 (-3x + 5) = -3

5x + 12x - 20 = -3

17x = -3 + 20

17x = 17

Divide by 17 on both sides

17x/17 = 17/17 ==> x = 1

Applying x = 1 in the first equation, we get

y = -3(1) + 5

y = -3 + 5 ==> y = 2

Hence x = 1 and y = 2 is the solution. Substitution method questions 5

Question 1 :

Solve the following equations by substitution method

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

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

Question 4 :

Solve the following equations by substitution method

2x − 3y = −1 and y = x − 1

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

Question 7 :

Solve the following equations by substitution method

y = 5x − 7 and −3x − 2y = −12

Question 8 :

Solve the following equations by substitution method

−4x + y = 6 and −5x − y = 21

Question 9 :

Solve the following equations by substitution method

2x + y = 20 and 6x − 5y = 12

Question 10 :

Solve the following equations by substitution method

y = −2 and 4x − 3y = 18

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