Question

Solve the pair of linear equation 3x-5y=4
2y+7=9x

Answer 1

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.i think this helps u

Answer 2

Answer:

${x}=\frac{9}{13}$

${y}=-\frac{5}{13}$

Step-by-step explanation:

$3x-5y=4$..............equation-1

$2y+7=9x\\\\\Rightarrow{x}=\frac{2y+7}{9}$

Now put the value of x in equation 1 we get

$3x-5y=4\\\\\Rightarrow3\times\frac{2y+7}{9}-5y=4\\\\\Rightarrow\frac{2y+7}{3}-5y=4\\\\\Rightarrow\frac{2y+7-15y}{3}=4\\\\\Rightarrow{2y+7-15y}=12\\\\\Rightarrow{7-13y}=12\\\\\Rightarrow-13y=12-7\\\\\Rightarrow-13y=5\\\\\Rightarrow{y}=-\frac{5}{13}$

Put the value of y in equation 2 we get

$2y+7=9x\\\\\Rightarrow2\times(-\frac{5}{13})+7=9x\\\\\Rightarrow(-\frac{10}{13})+7=9x\\\\\Rightarrow\frac{-10+91}{13}=9x\\\\\Rightarrow{x}=\frac{9}{13}$