Question

The sum of two numbers is 14 and their difference is 6, write system of linear equations and solve the equation

Answer 1

let x and y be the numbers sought:
The sum is 14------->x+y=14
The difference is 6---->x-y=6
Substract 2nd equation from the first and get: x-x+y-(-y)=14-6----> 2y=8--->y=4 then replace y in any of the two equations and get x=14-4=10 or x=6+4=10

Your numbers are x=10 and y=4

Answer 2

how cani graph it

Answer 3

First equation is a line that intercepts x-axis in x=14 and y-axis in y=14. Draw it
Second equation is a line that intercepts x-axis in x=6 and y-axis in y=-6. Draw it

The cross point of the two linesis the solution of the equation

Answer 4

check it!

Answer 5

@amydavis82 have you done it already?

Answer 6

yes thank you