Question

What is the solution to this system of linear equations?

x + y = 4

x − y = 6

Answer 1

This is a simultaneous equation so you have to find the value of x or y. We can do this by adding the 2 equations. This would make 2x, and y + -y = nothing. 4 + 6 = 10. So we have the equation 2x = 10. Divide both sides by 2 and you get the value of x, which is 5. You then plug this into the orignal equation, either one will work. You get a value of -1 for y.
x = 5 when y = -1.

Answer 2

x = 5 and y = -1

Explanation:

`x + y = 4`

`x - y = 6`

To solve for x and y , we use elimination method

In the given equations, the co efficient of y are same with different coefficient

So we add both equations

`x + y = 4`

`x - y = 6`

--------------------------------

`2x=10`

Divide both sides by 2

x= 5

now we plug in x value in first equation

`5 + y = 4`

Subtract 5 on both sides

y= -1