Solve the system of equations for the variables: 5x+2y=13 x+2y=9

x = 1, y = 4

Step-by-step explanation:

5x+2y = 13

x+2y = 9

Subtracting both equations

=> 5x+2y-x-2y = 13-9

=> 4x = 4

=> x = 1

Now, Putting x = 1 in the first equation

=> 5 (1) + 2y = 13

=> 2y = 13-5

=> 2y = 8

=> y = 4

x = 1

y = 4

Step-by-step explanation:

5x + 2y = 13

x + 2y = 9

Add both equations.

6x + 4y = 22

Solve for x.

6x = 22 - 4y

x = 22/6 - 4/6y

Put x as 22/6 - 4/6y in the second equation and solve for y.

22/6 - 4/6y + 2y = 9

-4/6y + 2y = 9 - 22/6

4/3y = 16/3

y = 16/3 * 3/4

y = 48/12

y = 4

Put y as 4 in the first equation and solve for x.

5x + 2 (4) = 13

5x + 8 = 13

5x = 13 - 8

5x = 5

x = 5/5

x = 1