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Show graphically that 2x+3y=6 and 4x+6y=12 …

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Show graphically that 2x+3y=6 and 4x+6y=12 has infinitely many solutions

Posted by Gautam Chand 6 years, 7 months ago

CBSE > Class 10 > Mathematics

2 answers

Sia ? 6 years, 7 months ago

{tex}2x + 3y = 6{/tex}
{tex}\Rightarrow y = \frac { 6 - 2 x } { 3 }{/tex}

x	{tex}-3{/tex}	{tex}3{/tex}
y	{tex}4{/tex}	{tex}0{/tex}

{tex}4x + 6y = 12{/tex}
{tex}\Rightarrow y = \frac { 12 - 4 x } { 6 }{/tex}

x	-6	0
y	6	2

The graph of the system of equations are coincident lines.

{tex}\therefore{/tex} The system has infinitely many solutions.

1Thank You

Yogita Ingle 6 years, 7 months ago

2x + 3y = 6

x	0	3
y	2	0

4x + 6y = 12

x	0	3
y	2	0

2Thank You

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CBSE > Class 10 > Mathematics

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CBSE > Class 10 > Mathematics