Question

If x=a,y=b is the solution of the equations x+y=5 and 2x-3y =4, then the value of a and b are respectively *

1 point

6,-1

2,3

1,4

19/5, 6/5

​

Answer 1

$\textbf{Given:}$

$\text{x=a and y=b is the solution of the equations x+y=5 and 2x-3y=4}$

$\textbf{To find:}$

$\text{The value of a and b}$

$\textbf{solution:}$

$\text{x=a and y=b is the solution of the equations x+y=5 and 2x-3y=4}$

$\text{Then,}$

$a+b=5\;$.......(1)

$2a-3b=4\;$.....(2)

$\bf(1){\times}3+(2)\implies$

$3a+3b=15\;$

$2a-3b=4\;$

$\implies\,5a=19$

$\implies\boxed{\bf\,a=\dfrac{19}{5}}$

$\text{Put a=\dfrac{19}{5} in (1), we get}$

$\dfrac{19}{5}+b=5$

$\implies\,b=5-\dfrac{19}{5}$

$\implies\,b=\dfrac{25-19}{5}$

$\implies\boxed{\bf\,b=\dfrac{6}{5}}$

$\therefore\textbf{The value of \bf\,a=\dfrac{19}{5} and \bf\,b=\dfrac{6}{5} }$

Find more:

The pair of linear equations x +y = 3 , 2x + 5y = 12

has a unique solution x = x1, y = y1, then value of x1,

(1) 1 (2) 2 (3)-1 (4) - 2

https://brainly.in/question/16854524

Answer 2

Step-by-step explanation:

=a and y=b is the solution of the equations x+y=5 and 2x-3y=4

\textbf{To find:}To find:

\text{The value of a and b}The value of a and b

\textbf{solution:}solution:

\text{x=a and y=b is the solution of the equations x+y=5 and 2x-3y=4}x=a and y=b is the solution of