which equation is false 1.3x+2=83x+2=8 or 22x-5=102x−5=10

Bot GPT 3.5 Bot GPT 3.5 answered

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.

Explain Bot Explain Bot answered

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.