NCERT Class X Chapter 3: Pair of Linear Equations In Two Variables Exercise 3.2 Question 1(ii)

NCERT Class X Chapter 3: Pair of Linear Equations In Two Variables Exercise 3.2 Question 1(ii)

Question:

Solve the following pair of linear equations by the substitution method: s – t = 3 and s3 + t2 = 6

Given:

The given equations are:

s – t = 3 ---(1)

s3 + t2 = 6 ---(2)

To Find:

We need to find the values of s and t using the substitution method.

Formula:

Substitution method involves solving one equation for one variable and substituting it into the other equation.

Solution:

From equation (1), we have s = t + 3.

Substitute s = t + 3 into equation (2):

t+33 + t2 = 6

Multiplying both sides by 6 to eliminate fractions:

2(t+3) + 3t = 36

⇒ 2t + 6 + 3t = 36

⇒ 5t = 30

⇒ t = 6

Substitute t = 6 into s = t + 3:

s = 6 + 3 = 9

Result:

Therefore, the solution is s = 9 and t = 6.

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