Question

What is the solution to this system of linear equations?

x + y = 4

x − y = 6

(4, 6)
(6, 4)
(5, −1)
(−1, 5)

Answer 1

Hey!


To solve this problem we must graph both equations and find what point both lines intersect.

OPEN THE FIRST IMAGE

The first image I provided was the image of this equation graphed: x + y = 4

OPEN THE SECOND IMAGE

The second image I provided was the image of this equation graphed: x - y = 6


PLEASE DO NOT OPEN THE THIRD IMAGE YET!


The first image shown has two points. One at ( 4, 0 ) and the other at ( 0,4 ).

The second image shown also has two points. One at ( 6, 0 ) and the other at ( 0, -6 ).

OPEN THE THIRD IMAGE.

Now, when both are lines combined we see that they intersect at a certain point. That point is ( 5, -1 ).

So, our answer is...

The solution to the system of linear equations provided is ( 5, -1 ).

Hope this helps!


- Lindsey Frazier ♥

Answer 2

Answer: (5 , -1)

Explanation:

The given system of linear equation :

`x+y=4-------------------(1)\\\\ x-y=6---------------------------(2)`

To solve the above equations , just add equation (1) and (2) , we gte

`2x=10`

Now, Divide 2 from both the sides , we get

`x= 5` (3)

Substitute the value of x=5 in equation (1), we get

`5+y=4`

Subtract 5 from both sides , we get

`y=4-5=-1` (4)

From equation (3) and (4) , we get

The solution to this system of linear equations = (5 , -1)