Solve the following pair of linear equations by the elimination…

Question 8 of 9intermediate🔧 ApplyShort Answer8 marks

Solve the following pair of linear equations by the elimination method and the substitution method:

(i)

$x + y = 5$ and $2x - 3y = 4$

Answer

x = 19/5, y = 6/5

(ii)

$3x + 4y = 10$ and $2x - 2y = 2$

Answer

x = 2, y = 1

(iii)

$3x - 5y - 4 = 0$ and $9x = 2y + 7$

Answer

x = 9/13, y = -5/13

(iv)

$\frac{x}{2} + \frac{2y}{3} = -1$ and $x - \frac{y}{3} = 3$

Answer

x = 2, y = -3

Explanation

This question from Exercise 3.3 tests both algebraic methods for solving linear equations. The elimination method involves making coefficients of one variable equal and then adding/subtracting equations. The substitution method involves expressing one variable in terms of another and substituting into the second equation.

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