The sum of two positive integers is 13 the difference between these numbers is 7 what is their product ? Explain :

Could someone please help!

Step-by-step explanation:

Let one number be x

Other number = 13 - x         {as sum of two numbers is 13}

x - [13 -x] = 7   { difference of two numbers is 7}

x - 13 +x =7

2x - 13 = 7

2x = 7 + 13

2x = 20

x = 20/2

x = 10

One number = 10

Other number = 13 - 10 = 3

Product = 10 * 3 = 30              

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