Question

solve the following pair of linear equation 3 x minus 5 Y is equal to 4 2 and 2Y + 7 is equal to 9 x​

Answer 1

The required solution is $x=\frac{9}{13} ,y=-\frac{5}{13} ,$

Explanation:

We have to solve the given pair of linear equations:

$3x-5y=4\\2y+7=9x$

We will use substitution method to solve the equations.

$3x-5y=4$

We will now isolate $x$, so add $5y$ on both sides

$3x-5y+5y=4+5y\\\Rightarrow3x=4+5y$

Now divide 3 on both sides.

$\Rightarrow\frac{3x}{3}=\frac{4+5y}{3}\\\Rightarrow x=\frac{4+5y}{3}$

We will solve the value of $x$, by substituting the value of $x$ in $2y+7=9x$  

$2y+7=9x\\\Rightarrow2y+7=9\times\frac{4+5y}{3}\\\Rightarrow2y+7=3\times(4+5y)\\\Rightarrow2y+7=12+15y\\\Rightarrow2y-15y=12-7\\\Rightarrow-13y=5\\ \Rightarrow y=-\frac{5}{13}$

Now we will solve the value of $y$, by substituting the value of $y$ in $x=\frac{4+5y}{3}$

$x=\frac{4+5y}{3}\\\Rightarrow x=\frac{4+5(-\frac{5}{13}) }{3} \\\Rightarrow x=\frac{4-\frac{25}{13} }{3} \\\\\Rightarrow x=\frac{52-25}{13\times3} \\\Rightarrow x=\frac{27}{39} \\\Rightarrow x=\frac{9}{13}$

Learn More:

What is linear equations?

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Answer 2

Plz mrk as brainlst

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