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Determine by drawing graphs whether the following pair of linear equations has a unique solution or not:3x+4y=12,y=2

Posted by Gokul Krish 6 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 6 months ago

Given equations are {tex}3x + 4y = 12{/tex} and {tex}y = 2{/tex}
Solution table for {tex}3x + 4y = 12{/tex} is

{tex}0{/tex}	{tex}4{/tex}	{tex}8{/tex}
{tex}3{/tex}	{tex}0{/tex}	{tex}-3{/tex}

Table for {tex}y = 2{/tex} is

0	1	2
2	2	2

{tex}\because{/tex} Lines intersect at one point {tex}(\frac{4}{3},2){/tex}
{tex}\Rightarrow {/tex} Pair of linear equations has a unique solution.

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