Question

Solve by substitution meathod
2x - 7y = 1
4x + 3y = 15

Answer 1

Answer:

x = $\frac{54}{17}$

y = $\frac{13}{17}$

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Step-by-step explanation:

Answer 2

Solution :

$\bf{\red{\underline{\bf{Given\::}}}}$

2x - 7y = 1................(1)

4x + 3y = 15..............(2)

$\bf{\red{\underline{\bf{To\:find\::}}}}$

The value of x and y.

$\bf{\red{\underline{\bf{Explanation\::}}}}$

From equation (1),we get;

$\longrightarrow\rm{2x-7y=1}\\\\\longrightarrow\rm{2x=1+7y}\\\\\longrightarrow\rm{x=\dfrac{1+7y}{2} .................(2)}$

Putting the value of x in equation (2),we get;

$\longrightarrow\rm{4\bigg(\frac{1+7y}{2} \bigg)+3y=15}\\\\\\\longrightarrow\rm{\dfrac{4+28y}{2} +4y=15}\\\\\\\longrightarrow\rm{4+28y+8y=15}\\\\\\\longrightarrow\rm{4+36y=15}\\\\\\\longrightarrow\rm{36y=15-4}\\\\\\\longrightarrow\rm{36y=11}\\\\\\\longrightarrow\rm{\pink{y=\dfrac{11}{36} }}$

Putting the value of y in equation (3),we get;

$\longrightarrow\rm{x=\frac{1+7\bigg(\dfrac{11}{36}\bigg) }{2} }\\\\\\\longrightarrow\rm{x=\frac{1+\dfrac{77}{36} }{2} }\\\\\\\longrightarrow\rm{x=\dfrac{\dfrac{36+77}{36} }{2} }\\\\\\\longrightarrow\rm{x=\dfrac{\dfrac{113}{36} }{2} }\\\\\\\longrightarrow\rm{x=\dfrac{113}{\cancel{36}} \times \cancel{2}}\\\\\\\longrightarrow\rm{\pink{x=\dfrac{113}{18} }}$

Thus;

The value of x = 113/18 and y = 11/36 .