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which equation is false 1.3x+2=83x+2=8 or 22x-5=102x−5=10
The equation that is false is 1.3x + 2 = 8.
To determine which equation is false, we can solve both equations and see if they hold true.
Let's solve the first equation, 1.3x + 2 = 8:
1.3x + 2 = 8
Subtracting 2 from both sides:
1.3x = 6
Dividing both sides by 1.3:
x ≈ 4.615
Now let's solve the second equation, 22x - 5 = 10:
22x - 5 = 10
Adding 5 to both sides:
22x = 15
Dividing both sides by 22:
x ≈ 0.682
Comparing the solutions, we can see that x ≈ 4.615 is not equal to x ≈ 0.682. Therefore, the equation 1.3x + 2 = 8 is false.
Hence, the false equation is 1.3x + 2 = 8.
To determine which equation is false, we need to solve both equations and see if the solutions make them true or false.
Let's start by solving the first equation, 1.3x + 2 = 8:
1.3x = 8 - 2 (subtract 2 from both sides)
1.3x = 6 (simplify)
Next, divide both sides of the equation by 1.3 to isolate x:
x = 6 / 1.3
Using a calculator, we find that x ≈ 4.615.
Now, let's solve the second equation, 22x - 5 = 10:
22x = 10 + 5 (add 5 to both sides)
22x = 15 (simplify)
Again, divide both sides of the equation by 22 to isolate x:
x = 15 / 22
Using a calculator, we find that x ≈ 0.682.
Now, let's check if these solutions make the equations true or false.
For the first equation, substitute x = 4.615:
1.3(4.615) + 2 = 8
This simplifies to:
5.999 + 2 = 8
Which further simplifies to:
7.999 = 8
Since 7.999 is very close to 8, we can consider this equation true.
Now, for the second equation, substitute x = 0.682:
22(0.682) - 5 = 10
This simplifies to:
14.964 - 5 = 10
Which further simplifies to:
9.964 = 10
Since 9.964 is not equal to 10, we can consider this equation false.
Therefore, the second equation 22x - 5 = 10 is false.