The sum of 6x - 2 and 2x - 7 is 8x - 9
Solution:
Given that we have to find the sum of 6x - 2 and 2x - 7
"Sum" means we have to add both the expressions
Sum of 6x - 2 and 2x - 7:
[tex]Sum = (6x -2) + (2x - 7)[/tex]
Remove the parenthesis and solve
[tex]Sum = 6x -2 + 2x - 7[/tex]
Combine the like terms
The like terms are terms that have the same variables and powers. The coefficients do not need to match
Here like terms are 6x and 2x
[tex]Sum = 6x + 2x - 7 - 2\\\\\text{Add the like terms }\\\\Sum = 8x -7 -2\\\\\text{Add the constants }\\\\Sum = 8x - 9[/tex]
Thus the sum is 8x - 9
