MATH SOLVE

4 months ago

Q:
# Use the drop down menus to complete each equation so the statement about its solution is true. No solutions: 6-3+4x+1= __x + __ One solution: 6-3+4x+1= __x + __ Infinitely many solutions: 6-3+4x+1 = __x + __ Can someone explain to me how to find the answer for the blanks because I've tried many times to solve it and I keep getting it wrong :/

Accepted Solution

A:

Step-by-step explanation:6 - 3 + 4x + 1simplify this and you get: 4x + 4If there are no solutions, then the equation will be equal to 4x + (any number other than 4). This will result in parallel lines.Examples: 4x + 1, 4x + 2, 4x + 3If there is one solution, then the equation will be equal to (any number other than 4)x + (any number). This will result in two lines that cross.Examples: 3x + 1, 2x + 3, x + 4If there are infinitely many solutions, then the equation will be equal to 4x + 4. This will result in both equations being the same line.Examples: 4x + 4, 8x + 8, 2x + 2