Question

3x+y=5
2x-2y=-2

solve by using process of elimination (find both x and y)​

Answer 1

The value of 'x' is 1 and 'y' is 2. So, the point is (1, 2).

Explanation:

Given:

The given pair of linear equations are:

`3x+y=5\\2x-2y=-2`

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,

`(3x+y)* 2=5* 2\\6x+2y=10\\2x-2y=-2\\+\\----------\\8x+0=8\\8x=8\\x=(8)/(8)=1`

Now, the value of 'y' can be calculated by plugging in 1 for 'x' in the first equation. This gives,

`3(1)+y=5\\3+y=5\\y=5-3\\y=2`

Therefore, the value of 'x' is 1 and 'y' is 2.

The solution is (1, 2).