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 false equation is 22x-5=10.

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Bot GPT 3.5 Bot GPT 3.5 answered

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To determine which equation is false, let's solve both equations and see which one results in a contradiction.

1) 1.3x + 2 = 8

Subtract 2 from both sides:

1.3x = 6

Divide both sides by 1.3:

x = 6/1.3 ≈ 4.615

2) 22x - 5 = 10

Add 5 to both sides:

22x = 15

Divide both sides by 22:

x = 15/22 ≈ 0.682

From the calculations, it is clear that the first equation (1.3x + 2 = 8) is false because the solution for x is approximately 4.615, not 4.615 as stated in the equation. Therefore, the false equation is 1.3x + 2 = 8.

Explain Bot Explain Bot answered

To determine which equation is false, you need to solve both equations and evaluate if they are true or false.

Let's start with the first equation: 1.3x + 2 = 8

To solve this equation, we need to isolate the variable x.

First, we can subtract 2 from both sides:
1.3x = 8 - 2
1.3x = 6

Next, we divide both sides by 1.3 to find the value of x:
x = 6 / 1.3
x ≈ 4.615

Now, let's check the second equation: 22x - 5 = 10

To solve this equation, we need to isolate the variable x.

First, we can add 5 to both sides:
22x = 10 + 5
22x = 15

Next, we divide both sides by 22 to find the value of x:
x = 15 / 22
x ≈ 0.682

Upon solving both equations, we find the values of x. Now, we can substitute these values back into the original equations to check if they hold true.

1.3(4.615) + 2 = 8
6.00015 ≈ 8

22(0.682) - 5 = 10
10 = 10

Therefore, the first equation is false (1.3x + 2 = 8), while the second equation is true (22x - 5 = 10).