Do these ratios form a proportion 12/16 and 15/20

This is a proportion

Step-by-step explanation:

Cross multiply:

12 * 20 = 16 * 15

Simplifying:

12 * 20 = 16 * 15

Multiply 12 * 20

240 = 16 * 15

Multiply 16 * 15

240 = 240

Add '-240' to each side of the equation.

240 + -240 = 240 + -240

Combine like terms: 240 + -240 = 0

0 = 240 + -240

Combine like terms: 240 + -240 = 0

0 = 0

Solving

0 = 0

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