Question

Use the drop-down menus to complete each equation so the statement about its solution is true?

Answer 1

5 - 4 + 7x + 1 = 7x + (5 - 4 + 1) = 7x + 2

NO SOLUTIONS:

5 - 4 + 7x + 1 = 7x + a    (a - any real number, except 2)

ONE SOLUTION:

5 - 4 + 7x + 1 = bx + c     (b - any real number, except 7, c - any real number)

INFINITELY MANY SOLUTIONS:

5 - 4 + 7x + 1 = 7x + 2

Examples:

2x + 3 = 2x + 5     subtract 2x from both sides

3 = 5    FALSE      (NO SOLUTIONS)

2x + 3 = x - 4      subtract x from both sides

x + 3 = -4       subtract 3 from both sides

x = -7          (ONE SOLUTION)

2x + 3 = 2x + 3      subtract 2x from both sides

3 = 3     TRUE      (INFINITELY MANY SOLUTIONS)