Simultaneous equations (elimination method)
y=3x-5 and 2x-6y= 8
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Question:
Complete the following activity to solve the simultaneous equations.
y = 3x - 5 -----(I)
2x - 6y = 8 -----(II)
Step-by-step explanation:
y = 3x - 5 -----(I)
2x - 6y = 8 -----(II)
Putting the value of y in (II) we get
⇒ 2x - 6(3x - 5) = 8
⇒ 2x - 12x + 30 = 8
⇒ -10x = 8 - 30 = -22
⇒ x = 22/10 = 2.2
Now,
Putting the value of x in (I) we get
⇒ y = 3(2.2) - 5
⇒ y = 6.6 - 5
⇒ y = 1.6
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