Question
Which of the following is an example of an equation with exactly one solution?(1 point)
Responses
3x+4=3x+3
3 x plus 4 equals 3 x plus 3
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=4x+3
3 x plus 4 equals 4 x plus 3
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The equation with exactly one solution is:
3x+4=4x+3
3 x plus 4 equals 4 x plus 3
how
To determine which equation has exactly one solution, we need to analyze the coefficients and constants in the equation.
Looking at the equation: 3x + 4 = 4x + 3
We can simplify it by combining like terms:
(3x - 4x) + 4 = 3
This further simplifies to:
-x + 4 = 3
Now, if we isolate the variable x, we get:
-x = 3 - 4
-x = -1
Finally, we can solve for x by multiplying both sides of the equation by -1, which means reversing the sign of both sides:
x = -(-1)
x = 1
So, the equation 3x + 4 = 4x + 3 has a solution of x = 1, which means it has exactly one solution.
The equation that is an example of having exactly one solution is:
3x+4=4x+3 (3 x plus 4 equals 4 x plus 3)