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
3x+4=3x+3
3 x plus 4 equals 3 x plus 3
4x+3=3x+3
4 x plus 3 equals 3 x plus 3
3x+4=4x+3
3x+4=4x+3 is an example of an equation with no solution.
To determine which of the equations has no solution, we need to compare the coefficients of x and the constants on both sides of the equation.
Let's analyze each equation:
1. 3x+4=3x+4:
In this equation, the coefficients of x on both sides are the same (3), and the constants are also the same (4). Therefore, the equation is true for any value of x. So, it has an infinite number of solutions.
2. 3x+4=3x+3:
In this equation, the coefficients of x on both sides are the same (3), but the constants are different (4 and 3). Since the constants are not equal, the equation is inconsistent, and it has no solution.
3. 4x+3=3x+3:
In this equation, the coefficients of x on both sides are different (4 and 3), but the constants are the same (3). Since the coefficients of x are different, the equation is inconsistent, and it has no solution.
4. 3x+4=4x+3:
In this equation, the coefficients of x on both sides are different (3 and 4), and the constants are also different (4 and 3). Again, since the coefficients of x are different, the equation is inconsistent, and it has no solution.
Therefore, the equation with no solution is 3x+4=3x+3.