5x + 12 = ___x +9
Complete the equation so that it has no solution
5x + 12 = 5x + 9
-7x - 12 = ___x + 12
Complete the equation so that it has no solution
-7x - 12 = -7x + 12
Solve for x
to determine if the equation has one, none, or infinite solutions.
6(2x+4)−24=12x
(1 point)
Responses
The equation has infinite solutions.
The equation has one solution: x=0
.
The equation has no solution.
The equation has one solution: x=−20
.
Let's solve the equation step by step:
6(2x+4) − 24 = 12x
Distributing the 6 on the left side of the equation:
12x + 24 - 24 = 12x
The 24 and -24 cancel out:
12x = 12x
The equation simplifies to:
0 = 0
Since both sides of the equation are equal, this means that the equation has infinite solutions.
pick an answer
The equation has infinite solutions.
Solve for x
to determine if the equation has one, none, or infinite solutions.
9(x+1)=3(5x+1)−12
The equation has no solution.
The equation has one solution: x=3
.
The equation has infinite solutions.
The equation has one solution: x=0
.
Let's solve the equation step by step:
9(x + 1) = 3(5x + 1) - 12
Expanding the parentheses on both sides:
9x + 9 = 15x + 3 - 12
Combining like terms:
9x + 9 = 15x - 9
Subtracting 9x from both sides:
9 = 6x - 9
Adding 9 to both sides:
18 = 6x
Dividing both sides by 6:
x = 3
So, the equation has one solution: x = 3.
Complete the equation so that it has infinite solutions
4x + 10 = ___x+ ___