is this series of equations false?
22x-5=102x−5=10
Yes, this series of equations is false because there are two equal signs and it is unclear what the intended operation is. Equations typically have one equal sign and are used to express the equality between two expressions.
No, this series of equations is not false. Let's solve it step-by-step:
Equation 1: 22x - 5 = 10
To solve for x, we will isolate the variable x.
Step 1: Add 5 to both sides of the equation:
22x - 5 + 5 = 10 + 5
22x = 15
Step 2: Divide both sides of the equation by 22:
(22x)/22 = 15/22
x = 15/22
Equation 2: 102x - 5 = 10
To solve for x, we will follow the same steps as in equation 1.
Step 1: Add 5 to both sides of the equation:
102x - 5 + 5 = 10 + 5
102x = 15
Step 2: Divide both sides of the equation by 102:
(102x)/102 = 15/102
x = 15/102
Therefore, the solution for both equations is x = 15/22 and x = 15/102, respectively.
To determine whether the given series of equations is false or not, we need to solve the equations and check if the solution satisfies both equations.
Let's solve the first equation:
22x - 5 = 10
Adding 5 to both sides:
22x = 10 + 5
22x = 15
Dividing both sides by 22:
x = 15/22
Now, let's solve the second equation:
102x - 5 = 10
Adding 5 to both sides:
102x = 10 + 5
102x = 15
Dividing both sides by 102:
x = 15/102
The two equations have different solutions, which means the series of equations is false.