Solve the system algebraically. Check your work.

5x + 2y = 10
3x + 2y = 6

Make sure there are NO SPACES in your answer. Be sure to include a comma.

Respuesta :

x=2,y=0


plug it in and check.


Answer:

x=2 and y=0 is the required result.

Step-by-step explanation:

We have been given system of equations:

[tex]5x+2y=10[/tex]     (1)

And [tex]3x+2y=6[/tex]      (2)

We will use elimination method:

Multiply 1st equation by 3 and 2nd equation by 5 we get:

[tex]15x+6y=30[/tex]      (3)

[tex]15x+10y=30[/tex]      (4)

Now subtract  (4) from (3) we get:

[tex]-4y=0[/tex]

[tex]y=0[/tex]

Now, put y=0 in (1) equation:

[tex]5x+2(0)=10[/tex]

[tex]5x=10[/tex]

[tex]x=2[/tex]

Hence, x=2 and y=0