Question

Find the value of k, if = 2/3 , = 3/2 is solution of the equation 7 + 5 = k.​

Answer 1

Correct question :

Find the value of k, if x = 2/3 ,y = 3/2 is solution of the equation 7x + 5y = k

Answer :

k = 73/6

Step-by-step explanation :

   Given linear equation in two variables x and y,

                7x + 5y = k

=> x = 2/3 , y = 3/2 is the solution of the given equation.

So, substitute the values of x and y to get the value of k

               $7x+5y=k\\\\\\ 7(\frac{2}{3})+5(\frac{3}{2})=k \\\\\\ \frac{14}{3} +\frac{15}{2} =k\\\\\\ \frac{14(2)+15(3)}{6} =k\\\\\\ \frac{28+45}{6}=k \\\\\\ \boxed{\bf k=\frac{73}{6}}$

∴ The value of k = 73/6

______________________________

⇒ An equation of the form ax + by + c = 0 where a, b, c are real numbers ( a ≠ 0, b ≠ 0 ) is called a linear equation in two variables.

⇒ Here, a,b are coefficients

              c is constant

              x,y are variables.

⇒ A linear equation in two variables has infinite solutions.