Is (-4,2) a solution to this system of equations? y=-(1)/(4)x+1 y=(1)/(2)x-1 yes no

To determine if $(-4,2)$ is a solution to the system of equations, we need to substitute the values of $x$ and $y$ into both equations and check if they hold true.<br /><br />Let's start with the first equation: $y=-\frac {1}{4}x+1$<br /><br />Substituting $x=-4$ and $y=2$, we get:<br /><br />$2=-\frac {1}{4}(-4)+1$<br /><br />Simplifying the right side, we have:<br /><br />$2=1+1$<br /><br />$2=2$<br /><br />This equation holds true.<br /><br />Now let's move on to the second equation: $y=\frac {1}{2}x-1$<br /><br />Substituting $x=-4$ and $y=2$, we get:<br /><br />$2=\frac {1}{2}(-4)-1$<br /><br />Simplifying the right side, we have:<br /><br />$2=-2-1$<br /><br />$2=-3$<br /><br />This equation does not hold true.<br /><br />Since the point $(-4,2)$ does not satisfy both equations in the system, it is not a solution to the system of equations.<br /><br />Therefore, the answer is no.