Question

8. Solve 4(4x + 3) = 19x +9 - 3x + 3. Does the equation have one solution, no solution, or infinitely many solutions? 4(4x + 3) = 19x + 9 - 3x + 3 4. C +4. = 19x + 9 - 3x + 3 16x + 12 = + 1 16x - + 12 = 16x - + 12 12. 12 Since 12 is equal to 12, the equation has solutions

Answer 1

Answer

The equation has infinitely many solutions.

Since 12 is always equal to 12, the equation will have infinitely many solutions.

Explanation

4 (4x + 3) = 19x + 9 - 3x + 3

4(4x) + 4(3) = 19x + 9 - 3x + 3

16x + 12 = (19x - 3x) + (9 + 3)

16x + 12 = 16x + 12

Subtract 16x from both sides

16x - 16x + 12 = 16x - 16x + 12

12 = 12

Since 12 is always equal to 12, the equation will have infinitely many solutions.

Hope this Helps!!!