Question

2x - 3y = 9; 2x + y = 13​

Answer 1

Answer:

Step-by-step explanation:

2x-3y=9--------------------let equation 1

2x+y=13--------------------let equation 2

change signs

-     -     -

-4y=-4

y=1

put the value of y in any equation

by putting the value of y in equation 2

2x+y=13

2x+1=13

2x=13-1

2x=12

x=12/2

x=6

Answer 2

$\large\bold{\sf{Given:}}$

1) 2x - 3y = 9

2x = 9 + 3y

2) 2x + y = 13

By replacing the value of 2x from the above equation

9 + 3y + y = 13

4y = 13 - 9

y =$\frac{4}{4}$

y = 1

By replacing the value of y in the above equation 2x - 3y = 9

2x - 3(1) = 9

2x = 9 + 3

x = 12

$\large\bold{\boxed{\boxed{x\:=\: 12\:and\:y\:=\:1 }}}$