Answer:
The value of 'x' is 1 and 'y' is 2. So, the point is (1, 2).
Step-by-step explanation:
Given:
The given pair of linear equations are:
[tex]3x+y=5\\2x-2y=-2[/tex]
In order to solve by elimination method, we have to eliminate any one variable using mathematical operations. Let us eliminate 'y'.
Multiplying the first equation by 2 and adding the result to the second equation. This gives,
[tex](3x+y)\times 2=5\times 2\\6x+2y=10\\2x-2y=-2\\+\\----------\\8x+0=8\\8x=8\\x=\frac{8}{8}=1[/tex]
Now, the value of 'y' can be calculated by plugging in 1 for 'x' in the first equation. This gives,
[tex]3(1)+y=5\\3+y=5\\y=5-3\\y=2[/tex]
Therefore, the value of 'x' is 1 and 'y' is 2.
The solution is (1, 2).
