Original Post:
1. Equation 1: 5x + 3 = 18
Equation 2: 8x - 2 = 5x + 9
2. Open equation: 2x + 4 = 10
Response to #1:
Equation 1 is true because when we solve it, we get x = 3. Substituting the value of x in the equation, we have 5(3) + 3 = 18, which simplifies to 15 + 3 = 18, and this is true.
On the other hand, equation 2 is false because when we solve it, we get x = -11. Substituting the value of x in the equation, we have 8(-11) - 2 = 5(-11) + 9, which simplifies to -88 - 2 = -55 + 9, and this is false.
Response to #2:
To solve the open equation 2x + 4 = 10, we can start by isolating the variable x. Subtracting 4 from both sides of the equation, we have 2x = 6. And to find the value of x, we can divide both sides of the equation by 2, which gives us x = 3. So, the value of x that makes the equation true is x = 3.