Question

find the number of solution of the following pair of linear equation: 3x-3y=5 ;7x-2y=2

Answer 1

The Value of
X = - 4/15
Y = - 29/15

Answer 2

Answer:

(\frac{-4}{15},\frac{-29}{15})

Step-by-step explanation:

Given : $3x-3y=5$

            $7x-2y=2$

To find : Solution of pair of equations.

Solution:

$3x-3y=5$  --1

$7x-2y=2$   --2

Substitute value of x from 1 in 2

$7(\frac{5+3y}{3})-2y=2$

$\frac{35+21y}{3}-2y=2$

$35+21y-6y=6$

$35+15y=6$

$15y=6-35$

$15y=-29$

$y=\frac{-29}{15}$

Substitute the value of y in 1

$3x-3(\frac{-29}{15})=5$  

$3x-\frac{-29}{5}=5$  

$15x+29=25$  

$15x=-4$  

$x=\frac{-4}{15}$  

Thus the solution is (\frac{-4}{15},\frac{-29}{15})