which equation is false 1.3x+2=83x+2=8 or 22x-5=102x−5=10 there are 2 equations
The equation "1.3x + 2 = 8" is false.
To determine which equation is false, we can substitute different values for x and see if the equation holds true.
1. For the equation 1.3x + 2 = 8:
Subtracting 2 from both sides gives us: 1.3x = 6
Dividing both sides by 1.3 gives us: x ≈ 4.615
Substituting x = 4.615 into the equation:
1.3(4.615) + 2 = 5.9995 + 2 ≈ 7.9995
Therefore, the equation 1.3x + 2 = 8 is true.
2. For the equation 22x - 5 = 10:
Adding 5 to both sides gives us: 22x = 15
Dividing both sides by 22 gives us: x ≈ 0.682
Substituting x = 0.682 into the equation:
22(0.682) - 5 = 15.004 - 5 ≈ 10.004
Therefore, the equation 22x - 5 = 10 is true.
Since both equations are true, neither of them is false.
To determine which equation is false, we need to solve each equation and check if they satisfy the given conditions. Let's analyze both equations:
1) 1.3x + 2 = 8
Subtracting 2 from both sides, we get:
1.3x = 6
Dividing both sides by 1.3:
x = 4.615
Now, let's substitute this value of x into the equation and check if it satisfies the condition:
1.3(4.615) + 2 = 8
6.0005 + 2 = 8
8.0005 ≠ 8
Therefore, the equation 1.3x + 2 = 8 is false.
2) 22x - 5 = 10
Adding 5 to both sides, we get:
22x = 15
Dividing both sides by 22:
x = 0.682
Now, let's substitute this value of x into the equation and check if it satisfies the condition:
22(0.682) - 5 = 10
14.964 - 5 = 10
9.964 ≠ 10
Therefore, the equation 22x - 5 = 10 is false as well.
In conclusion, both equations given are false since neither equation satisfies the given conditions.