EXERCISE 3.3 H.M
Solve the following pair of linear equations by the substitution method.
(i) x+y= 14
x-y=4
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Answer:
x+y=14 (make y the subject)
-x -x
Equation
(1) y= 14-x
(2) x-y= 4
Replace y in eqauation (2) with (14-x):
x-y= 4
x-(14-x)= 4 (expand)
x-14+x= 4
2x-14= 4 (plus 14 both sides)
+14 +14
2x=18 (divide both sides by 2)
2 2
x= 9
1). (9)+y=14
-9 -9
y=14-9
y= 5
Prove answer
1). (9)+(5)= 14
2). (9)-(5)= 4
Explanation:
hope this helps
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