Question
which has the following equations has solution (-3)
Answers
GPT 3.5
We need to determine which equation has a solution of -3. To do this, we can substitute -3 into each equation and see if it satisfies the equation.
1) 2x + 1 = 5
Substituting x = -3:
2(-3) + 1 = -6 + 1 = -5
The equation is not satisfied, so this equation does not have a solution of -3.
2) x^2 + 2x - 3 = 0
Substituting x = -3:
(-3)^2 + 2(-3) - 3 = 9 - 6 - 3 = 0
The equation is satisfied, so this equation has a solution of -3.
3) 3x + 2 = x - 1
Substituting x = -3:
3(-3) + 2 = -9 + 2 = -7
The equation is not satisfied, so this equation does not have a solution of -3.
Therefore, the equation x^2 + 2x - 3 = 0 has a solution of -3.
1) 2x + 1 = 5
Substituting x = -3:
2(-3) + 1 = -6 + 1 = -5
The equation is not satisfied, so this equation does not have a solution of -3.
2) x^2 + 2x - 3 = 0
Substituting x = -3:
(-3)^2 + 2(-3) - 3 = 9 - 6 - 3 = 0
The equation is satisfied, so this equation has a solution of -3.
3) 3x + 2 = x - 1
Substituting x = -3:
3(-3) + 2 = -9 + 2 = -7
The equation is not satisfied, so this equation does not have a solution of -3.
Therefore, the equation x^2 + 2x - 3 = 0 has a solution of -3.