# Solve the system: 2x-y=8 x+3y=9

### 2 Answers | Add Yours

2x-y = 8 ..........(1)

x + 3y = 9 ...........(2)

We will use the elimination method to solve:

Let us multiply (1) by 3 and add to (2);

==> 7x = 33

**==> x= 33/7**

To find y we will substitute in (1):

2x - y = 8

==> y= 2x - 8 = 2(33/7) - 8

=(66-56)/7 = 10/7

**==> y= 10/7 **

To solve the equations:

2x-y =8...(1)

x+3y = 9...(2)

Solution:

(1)*3+(2):

(2x-y)*3+(x+3y)= 8*3+9

6x-3y+x+3y = 33

7x = 33

x = 33/7 .

(1)-2*(2)"

2x-y -2(x+3y) = 8-2*9

-7y = -10

y = -10/-7 = 10/7.

Threfore x = 33/7 and y = 10/7