Page 20 - 8-Math-6 Factorization, Simultaneous Equations
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EXERCISE 6.9
1. Find the solution set by using the method of equating the coefficients.
(i) 2x + 5y = -1 (ii) x + y = 2
x - 2y = 4 x-y=0
(iii) 2x + 3y = 3 (iv) x - 4y = 4
x + 5y = 5 4x - y = 16
(v) 2x - 3y = 6 (vi) 3x - 4y = 7
3x + 5y = 0 5x + y = 27
2. Find the solution set by using the method of elimination by substitution.
(i) 2x + 2y = 5 (ii) 5x + 2y = 15
x - 2y = 3 -2x + y = 4
(iii) 6x + y = 2 (iv) 2x + 7y = 10
x - 4y=15 3x + y = 3
(v) 2x - 4y = -10 (vi) x + 8y = 15
y + 5x = -5 3x - y = 0
3. Find the solution set by using the method of cross multiplication.
(i) 2x - 7y = 11 (ii) 11x + 12y = 15
5x - 10y = 10 12x + 11y = -23
(iii) 2x - 9y + 10 = 0 (iv) 5x + y - 56 = 0
3x - 5y - 10 = 0 x + 18y - 29 = 0
(v) 9x - 11y - 15 = 0
7x - 13y - 25 = 0 (vi) 2y - 10x - 86 = 0
2x + 5y - 11 = 0
6.5.2 Solving Real Life Problems Involving Two Simultaneous Linear
Equations in two Variables
Example 1: A number is half of another number. The sum of 3 times of 1st number and 4
times of 2nd number is 22. Find the numbers.
Solution: Suppose that the numbers are x and y. Then according to given condition.
version: 1.1
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