The sum of two numbers is 10 and the difference is 6. what are the numbers?
1. create a system of two linear equations to represent this problem.
2. what is the solution to the system?

1. X+Y=10

X-Y=6

2.

X=8

Y=2

Step-by-step explanation:

Hello! To solve this problem initially we must propose a system of equations of 2x2, this means 2 variables and 2 equations, the following equations of the problem are inferred

1.

Number 1 =x

Number 2 =y

X+Y=10

X-Y=6

To solve the system of equations, a sum is made between them as follows

X   +   Y=   10

+

X    -    Y=   6

___________

2X=16

X=8

to find x we use the ecuation 1

X+Y=10

Y=10-x

y=10-8

Y=2

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step-by-step explanation:

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heyyy

step-by-step explanation: