Question

2x+y=3x-y= 1solve the equation ​

Answer 1

Answer:

x = 4/3

y = 1/3

Step-by-step explanation:

System of equations! This is set up really well to make the second equation equal x then substitute.

x - y = 1

x = 1 + y

and then our substitution:

2 (1+y) + y = 3

and solve:

2 + 2y + y = 3

3y + 2 = 3

3y = 1

y = 1/3

And now we can substitute that value into one of our equations:

x - (1/3) = 1

x = 4/3

Next we should check by substituting these values into both of our equations:

2 (4/3) + (1/3) = 3

9 / 3 does equal 3 !

(4/3) - (1/3) does equal 1 !

Therefore, x = 4/3 , and y = 1/3

Answer 2

Answer: x = 4/3, y = 1/3

Explanation:

2x + y = 3
x - y = 1
=> x = 1 + y

2(1 + y) + y = 3
2 + 2y + y = 3
3y = 3-2
y = 1/3

x - 1/3 = 1
x = 3/3 + 1/3
x = 4/3