Question

2x - 5y = 5 x + y =2 Solve the system of equations

Answer 1

Answer:

${ \bf{2x - 5y = 5 - - - (a)}} \\ { \bf{x + y = 2 - - - (b)}} \\ (a) - 2(b) : \\ - 7y = 1 \\ y = - \frac{1}{7} \\ x - \frac{1}{7} = 2 \\ x = \frac{15}{7}$

Answer 2

Answer:

$x = \frac{15}{7} , \ y = - \frac{1}{7}$

Step-by-step explanation:

2x - 5y = 5  ---------- ( 1 )

 x + y = 2  ------------ ( 2 )

x = 2 - y ---------( 3 )

Substitute x in ( 1 ) :

                         2( 2 - y) - 5y = 5

                             4 - 2y - 5y = 5

                                - 7y = 5 - 4

                                   -7 y = 1

                                       $y =- \frac{1}{7}$

Substitute y in ( 2 ) :

                         $x + y = 2\\\\x -\frac{1}{7} = 2\\\\x = 2 + \frac{1}{7}\\\\x = \frac{14 + 1}{7}\\\\x = \frac{15}{7}$