What is the solution of the equation x + 24 = −17 ?(1 point)
Responses
7
7
41
41
−7
negative 7
−41
The solution of the equation x + 24 = -17 is -41.
To find the solution to the equation x + 24 = -17, we need to isolate the variable x.
Step 1: Subtract 24 from both sides of the equation.
x + 24 - 24 = -17 - 24
This simplifies to:
x = -41
So, the solution to the equation x + 24 = -17 is x = -41.
Which of the following equations has the same solution as the equation x + 12 = −14 ?(1 point)
Responses
x − 0.70 = −0.05
x minus 0.70 equals negative 0.05
x − 14 = 1
x minus Start Fraction 1 over 4 End Fraction equals 1
x + 12 = 54
x plus Start Fraction 1 over 2 End Fraction equals Start Fraction 5 over 4 End Fraction
x + 1.5 = 0.75
To find the equation with the same solution as the equation x + 12 = -14, we need to use inverse operations to isolate the variable x.
Step 1: Subtract 12 from both sides of the equation.
x + 12 - 12 = -14 - 12
This simplifies to:
x = -26
Therefore, the equation x = -26 has the same solution as the equation x + 12 = -14. None of the provided options match this equation.
To solve the equation x + 24 = -17, we need to isolate the variable x on one side of the equation.
The first step is to cancel out the 24 on the left side. We can do this by subtracting 24 from both sides of the equation:
(x + 24) - 24 = -17 - 24
Simplifying, we have:
x + 0 = -41
Since any number added to 0 remains the same, we can rewrite the equation as:
x = -41
Therefore, the solution to the equation x + 24 = -17 is x = -41.