For what value(s) of b does the equation below have no solution? explain. 3x-b=3x-2

For any value of b different from 2 the system will have no solution.

Step-by-step explanation:

we have

we know that

If b=2

then

the system has infinite solutions (the equations on both sides would be the same)

therefore

For any value of b different from 2 the system will have no solution. (parallel lines with different y-intercept)

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