Question

3x+y=52x-2y=-2solve by using process of elimination (find both x and y)​

Answer 1

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:

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

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,

$(3x+y)\times 2=5\times 2\\6x+2y=10\\2x-2y=-2\\+\\----------\\8x+0=8\\8x=8\\x=\frac{8}{8}=1$

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).