To add the given equations in the system, we first rewrite them clearly:
- \(-8x + 8y = 8\) (Equation 1)
- \(3x - 8y = -18\) (Equation 2)
Next, we will add these two equations together.
Starting with Equation 1: \[ -8x + 8y = 8 \]
And Equation 2: \[ 3x - 8y = -18 \]
Now, we add them line-by-line:
For the \(x\) terms: \[ -8x + 3x = -5x \]
For the \(y\) terms: \[ 8y - 8y = 0y \quad (\text{which is just } 0) \]
For the constant terms: \[ 8 + (-18) = 8 - 18 = -10 \]
Putting it all together, the result of adding the two equations is: \[ -5x + 0y = -10 \] or simply: \[ -5x = -10 \]
Thus, among the options given, the correct equation that results from adding the two equations in the system is: \[ \text{Negative 5 x = negative 10} \quad \text{(which is -5x = -10)} \]
1 answer