To solve the equation 5(2x+2)−7x=3x+6, first simplify both sides of the equation:
10x + 10 - 7x = 3x + 6
Combine like terms:
3x + 10 = 3x + 6
Subtract 3x from both sides of the equation:
10 = 6
Since 10 is not equal to 6, the equation has no solution.
Solve for x to determine if the equation has one, none, or infinite solutions.
5(2x+2)−7x=3x+6The equation has no solution.
The equation has no solution.
The equation has one solution: x=10.
The equation has one solution: x equals 10 .
The equation has one solution: x=6.
The equation has one solution: x equals 6 .
The equation has infinite solutions.
The equation has infinite solutions.
11 answers
Which of the following is an example of an equation with no solution?(1 point)
Responses
3x+4=3x+4
3 x plus 4 equals 3 x plus 4
4x+3=3x+3
4 x plus 3 equals 3 x plus 3
3x+4=4x+3
3 x plus 4 equals 4 x plus 3
3x+4=3x+3
Responses
3x+4=3x+4
3 x plus 4 equals 3 x plus 4
4x+3=3x+3
4 x plus 3 equals 3 x plus 3
3x+4=4x+3
3 x plus 4 equals 4 x plus 3
3x+4=3x+3
The equation 3x+4=3x+3 is an example of an equation with no solution.
Which of the following is an example of an equation with exactly one solution?(1 point)
Responses
4x+3=4x+3
4 x plus 3 equals 4 x plus 3
3x+4=3x+4
3 x plus 4 equals 3 x plus 4
3x+4=3x+3
3 x plus 4 equals 3 x plus 3
3x+4=4x+3
Responses
4x+3=4x+3
4 x plus 3 equals 4 x plus 3
3x+4=3x+4
3 x plus 4 equals 3 x plus 4
3x+4=3x+3
3 x plus 4 equals 3 x plus 3
3x+4=4x+3
The equation 3x+4=4x+3 is an example of an equation with exactly one solution.
Solve for x to determine if the equation has one, none, or infinite solutions.
3(x+2)−6=3x
Responses
The equation has no solution.
The equation has no solution.
The equation has one solution: x=3.
The equation has one solution: x equals 3 .
The equation has one solution: x=−3.
The equation has one solution: x equals negative 3 .
The equation has infinite solutions.
The equation has infinite solutions.
3(x+2)−6=3x
Responses
The equation has no solution.
The equation has no solution.
The equation has one solution: x=3.
The equation has one solution: x equals 3 .
The equation has one solution: x=−3.
The equation has one solution: x equals negative 3 .
The equation has infinite solutions.
The equation has infinite solutions.
To solve the equation 3(x+2) - 6 = 3x, first distribute the 3:
3x + 6 - 6 = 3x
Combine like terms:
3x = 3x
Subtract 3x from both sides:
0 = 0
Since 0 = 0, this equation has infinite solutions.
3x + 6 - 6 = 3x
Combine like terms:
3x = 3x
Subtract 3x from both sides:
0 = 0
Since 0 = 0, this equation has infinite solutions.
Solve for x to determine if the equation has one, none, or infinite solutions.
4x=3(x+5)−15
Responses
The equation has no solution.
The equation has no solution.
The equation has infinite solutions.
The equation has infinite solutions.
The equation has one solution: x=−10.
The equation has one solution: x equals negative 10 .
The equation has one solution: x=0.
The equation has one solution: x equals 0 .
4x=3(x+5)−15
Responses
The equation has no solution.
The equation has no solution.
The equation has infinite solutions.
The equation has infinite solutions.
The equation has one solution: x=−10.
The equation has one solution: x equals negative 10 .
The equation has one solution: x=0.
The equation has one solution: x equals 0 .
To solve the equation 4x = 3(x+5) - 15, first distribute the 3:
4x = 3x + 15 - 15
Combine like terms:
4x = 3x
Subtract 3x from both sides:
x = 0
Since x = 0, this equation has one solution.
4x = 3x + 15 - 15
Combine like terms:
4x = 3x
Subtract 3x from both sides:
x = 0
Since x = 0, this equation has one solution.
Solve for x to determine if the equation has one, none, or infinite solutions.
5(2x+2)−7x=3x+6
Responses
The equation has no solution.
The equation has no solution.
The equation has one solution: x=10.
The equation has one solution: x equals 10 .
The equation has one solution: x=6.
The equation has one solution: x equals 6 .
The equation has infinite solutions.
The equation has infinite solutions.
5(2x+2)−7x=3x+6
Responses
The equation has no solution.
The equation has no solution.
The equation has one solution: x=10.
The equation has one solution: x equals 10 .
The equation has one solution: x=6.
The equation has one solution: x equals 6 .
The equation has infinite solutions.
The equation has infinite solutions.
To solve the equation 5(2x+2)−7x=3x+6, first distribute the 5:
10x + 10 - 7x = 3x + 6
Combine like terms:
3x + 10 = 3x + 6
Subtract 3x from both sides:
10 = 6
Since 10 is not equal to 6, this equation has no solution.
10x + 10 - 7x = 3x + 6
Combine like terms:
3x + 10 = 3x + 6
Subtract 3x from both sides:
10 = 6
Since 10 is not equal to 6, this equation has no solution.