th orade 66,1 is \( (x, y) \) a solution to the system of equations? Na6 ini) Is \( (1,8) \) a solution to this system of equations? \[ \begin{array}{l} y=4 x+4 \\ y=6 x+2 \end{array} \] yes no Submit

To determine if (1, 8) is a solution to the system of equations, substitute \( x = 1 \) and \( y = 8 \) into both equations. For the first equation \( y = 4x + 4 \): \[ 8 = 4(1) + 4 \Rightarrow 8 = 8 \quad \text{(True)} \] For the second equation \( y = 6x + 2 \): \[ 8 = 6(1) + 2 \Rightarrow 8 = 8 \quad \text{(True)} \] Since both equations are satisfied, yes, (1, 8) is indeed a solution to this system of equations! It's interesting to note that systems of equations can represent various scenarios in real life, like finding the intersection point of two lines representing different economic models or trends. Solving them can help make informed decisions or predictions. When solving systems of equations, it's crucial to double-check your substitutions and calculations. A common mistake is misreading the equations, especially the coefficients or constants. Take your time and verify each step to avoid tiny errors that can lead to incorrect conclusions!