Perimeter: 16, calculate the value of x when the length
of the rectangle is 3x and the
hieght is x

Step-by-step explanation:

Perimeter = 16

length = 3x

height = x

P = 2L + 2H

16 = 2(3x) + 2(x)

16 = 8x

hence:

x = 2.

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