Use a system of equations to solve the following problems 1) Find the value of two numbers if their sum is 11.9 and their difference is 0.5.

The answer is x= 6.2 and y= 5.7

Step-by-step explanation:

Let the two numbers be x and y.

1st condition:

x+y= 11.9 --- (1)

2nd condition:

x-y=0.5--- (2)

Solving 1 and 2

x+y= 11.9 --- (1)

x-y=0.5--- (2)                           (here +y and -y  will get cancelled)

2x= 12.4

x= 12.4/2 = 6.2

∴x= 6.2

Now, put x= 6.2 in equation (1)           ( u can put in eqn 2 also)

6.2+y= 11.9

y= 11.9-6.2= 5.7

∴y= 5.7

To recheck you can put the value of x and y in any of the eqns.  

The LHS will be equal to RHS if the values we got are correct.

Hope it helps.

this answer is !

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step-by-step explanation:

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