y = 2x + 1 x + 3y = 10

Question

   y = 2x + 1

x + 3y = 10

Answer 1

Hello Nyarai We have two equations and we are going to use the substitution method.

y= 2x +1 x+ 3y =10 (Lets use the second equation first).

x + 3(2x+1)=10.

x + 6x +3 =10. (Add the X's).

7x +3 =10.

-3 -3.

______________

7x 7.

____ ____.

7 7.

X=1.

y=2x +1 (Put 1 in for X).

y= (2(1) +1.

y= 2 +1 .

y=3.

Check: x +3y =10.

1 + 3(3) =10

1 + 9 =10

10=10

Hope this helps.

Answer 2

x+3(2x+1)=10

x+6x+3=10

7x=7

x=1

y=3