For what value of x do the expression 2x + 3 and 3x - 6 have the same value?

the value of x is 9

Step-by-step explanation:

The expressions 2x + 3 and 3x - 6 are equal when x = 9

The two expressions are:

2x + 3  and  3x  - 6

For the two expressions to have the same value, this can be expressed mathematically as:

2x  +  3  =  3x  -  6

The value of x for which 2x + 3 has the same value as 3x - 6 is gotten by solving the equation 2x + 3 = 3x - 6

2x + 3 = 3x - 6

Collect like terms

3x - 2x = 3 + 6

x  =  9

Learn more on equality of expressions here:

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.