Question

3x+y=3
7x−y=2
The system of equations above has solution (x,y). What is the value of x?

Answer 1

x=1/2

Explanation:

3x+y=3..............(1)

7x-y=2...........(2)

for equation (1)

y=3-3x...........(3)

substitute y=3-3x into equation(2)

7x-(3-3x)=2

7x-3+3x=2

C L T

7x+3x=2+3

10x=5

x=5/10

x=1/2

Answer 2

`x=(1)/(2)`

Explanation:

We can solve this system of equations using elimination.

In this case, we can eliminate y by adding the two equations:

`3x+7x+y+(-y)=3+2\\10x+y-y=5\\10x=5`

Divide both sides by 10

`x=(1)/(2)`