The difference of two numbers is 8. the larger number is three more then twice the second number. find the numbers

5 and 13

Step-by-step explanation:

1) If we call the larger number x and the smaller y we can write two equations.

y= x - 8 and x - 3=2y

2) we can substitute the x-8 in for the y in the second equation.

x-3=2(x-8)

3) by distributing and simplifying we find that x=13

4) To find y we need to plug x back into the first equation.

y=13-8

y=5

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

d

step-by-step explanation: