Question

if 2x+4y=3 and x-y=1 then find the value of k for equation kx+5=y by substitution method

Answer 1

Answer:

x = 7/6 , y = 1/6 ,k = -29/7

Answer 2

$\huge\mathfrak\blue{Answer:}$

Given:

• We have been given two linear equation in two variables
• 2x + 4y = 3 and x - y = 1

To Find:

• We have to find the value of k in the given equation kx + 5 = y

Solution:

We have been Given two equations

$\implies$ x - y = 1

$\implies$ y = ( x - 1 ) _____ ( 1 )

Similarly we have

$\implies$ 2x + 4y = 3

Putting value of y from equation ( 1 )

$\implies$ 2x + 4 ( x - 1 ) = 3

$\implies$ 2x + 4x - 4 = 3

$\implies$ 6x - 4 = 3

$\implies$ 6x = 7

$\implies$ x = $\dfrac{7}{6}$

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Putting x = 7/6 in equation ( 1 ) We get

$\implies$ y = x - 1

$\implies$ y = $\dfrac{7}{6}-1$

$\implies$ y = $\dfrac{7-6}{6}$

$\implies$ y = $\dfrac{1}{6}$

Hence value of x = 7/6 and y = 1/6

________________________________

We have been given that

$\implies$ kx + 5 = y

$\implies$ $\dfrac{7k}{6}$ + 5 =$\dfrac{1}{6}$

$\implies \dfrac{7k + 30}{6} = \dfrac{1}{6}$

$\implies 7k + 30 = 1$

$\implies 7k = -29$

$\implies k = -\dfrac{29}{7}$

Hence the value of k is ( -29/7 )