solve graphically x+3y=6 and 2x+3y=12
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Answer:
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Step-by-step explanation:
Answer:
x= 6-3y ..... (1)
(i) When y=2 (ii) When y=3 (iii) When y= -1
x= 6-3y x= 6-3y x= 6-3y
x= 6-3(2) x= 6-3(3) x=6-3(-1)
x= 6-6 x=6-9 x=6- (-3)
x= 0 x= -3 x=6+3
x= 9
(iv) When y=4
x= 6-3y
x= 6-3(4)
x=6-12
x= -6
2x+3y=12 ... Rearranging
3y=12-2x
y=12-2x ÷ 3 ....(2)
(i) When x=3 (ii) When x=5 (iii)When x=4
y=12-2(3)÷3 y=12-2(5)÷3 y=12-2(4)÷3
y= 12-6÷3 y=12-5÷3 y=12-8÷3
y= 6 ÷ 3 y= 7÷3 y= 4÷3
y = 2
(iv) When x=-3
y=12-2(-3)÷3
y= 12-(-6)÷3
y= 12+6÷3
y= 18 ÷ 3
y= 6
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