The sum of two number is 5. the difference of the numbers is negative 3. find the two numbers​

The two numbers are 1 and 4

1+4 = 5

1-4 = -3

Explanation:

You set the equations up properly. Nice work so far.

Let's add the equations straight down.

After those three sets of addition operations, we are left with the equation 2x = 2. This solves to x = 1 after dividing both sides by 1.

Use this x value to find y

We can pick either equation. If we pick the first equation, then,

x+y = 5

1+y = 5

y = 5-1

y = 4

Or we could use the other equation instead

x-y = -3

1-y = -3

-y = -3-1

-y = -4

y = 4

Either way, we get the same y value when x = 1. This helps confirm we have the correct x value. A more thorough check would involve plugging (x,y) = (1,4) into both original equations and simplifying. You should get the same value on each side.

x=1

y=4

Step-by-step explanation:

x+y=5

x-y=-3

describe x in terms of y (or y in terms of x)

x=5-y

replace all x in the problem x-y=-3

5-y-y=-3

5-2y=-3

take 5 from each side

-2y=-8

divide both sides by -2

y=4

5-y=x

5-4=x

x=1

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions