how many solutions does the equation have 4x + 3=2(2x +9)
1 one solution
2 no solution
3 an infinite number of solutions
4 impossible to determine
My answer 1
no solution.
Think: does 3=18 ? There can be no x which will do that.
ohhhh ok thank you
so whats the answer
To determine how many solutions the equation has, you can start by simplifying it and then comparing the coefficients of x and the constant term on both sides of the equation.
Let's begin by simplifying the equation:
4x + 3 = 2(2x + 9)
First, distribute the 2 on the right side:
4x + 3 = 4x + 18
Now, subtract 4x from both sides to isolate the constant terms:
3 = 18
At this point, we have 3 = 18, which is not true. The constant term on the left side does not equal the constant term on the right side.
Since the equation leads to a contradiction (3 ≠ 18), there are no values of x that satisfy the equation. Therefore, the equation has no solutions.
Therefore, the correct answer is: 2) no solution.