7. Write two solutions of the form x = 0, y = a and x = b, y = 0 for each of the following equations: (i) 5x – 2y = 10 (ii) - 4x + 3y = 12 (iii) 2x + 3y = 24
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Step-by-step explanation:
- 4x + 3y = 12
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(i) 5x−2y=10
ifx=05(0)−2(y)=10⇒y=−5∣∣∣∣∣∣∣∣ify=05(x)−2(0)=105x=10⇒x=2
∴ The two solutions are (0,−5) and (2,0)
(ii) −4x+3y=24
ifx=03y=12⇒y=4∣∣∣∣∣∣ify=0−4x=12⇒x=−3
∴ The two solution are (0,4) and (−3,0)
(iii) 2x+3y=24
ifx=03y=24⇒y=8∣∣∣∣∣∣ify=02x=24⇒x=12
∴ The two solution are (0,8) and (12,0)
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