Answer first and second
Answers
i) 2x + 3y = 5 ...(1)
3x + 4y = 6 ...(2)
Multiplying (1) by 3 & (2) by 2
=> 6x + 9y = 15
=> 6x + 8y = 12
- - -
______________
0 + y = 3
=> y = 3
Placing y = 3 in (1)
=> 2x + 3(3) = 5
=> 2x = 5 - 9
=> x = -2
ii) x + y = 7 ...(1)
2x + y = 9 ... (2)
From (1)
x = 7 - y
Substituting in (2)
=> 2(7-y) + y = 9
=> 14 - 2y + y = 9
=> 14 - y = 9
=> y = 14 - 9
=> y = 5
Placing y = 5 in (2)
=> 2x + 5 = 9
=> 2x = 4
=> x = 2
[i]
2x + 3y = 5
3x + 4y = 6
3 [2x + 3y = 5]
2 [3x + 4y = 6]
6x + 9y = 15
6x + 8y = 12
+6x + 9y = 15
-6x - 8y = -12
y = 3
2x + 3y = 5
2x + 3*3 = 5
2x + 9 = 5
2x = 5-9
x = -4/2
x = -2
[ii]
x+y = 7
2x+y = 9
x = 7-y
2(7-y) + y = 9
14-2y + y = 9
14-y = 9
-y = 9-14
y = 5
x = 7-y
= 7-5
x = 2
Hope it helps
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