Answer
By looking at graph, the solution of the system of equations is approximately the ordered pairs x,y: $(.3,-1.1)$.
Work Step by Step
By looking at graph, the solution of the system of equations is approximately the ordered pairs x,y: $(.3,-1.1)$.
If we want to check the solution we can solve the equation:
1) $3.1x-4.5y=6$
2) $4.5x+1.1y=0$
By multiplying the second equation by $\frac{4.5}{1.1}\approx4.09$, we get:
2) $4.09\times(4.5x+1.1y)=4.09\times0$
2) $18.405x+4.5y=0$
We can now add equation 2) to equation 1):
$3.1x-4.5y+(18.405x+4.5y)=6+0$
$21.505x=6$
$x=\frac{6}{21.505}\approx.3$
By substituting it back into equation 2), we get the value of y:
$4.5x+1.1y=0$
$4.5\times.3+1.1y=0$
$1.35+1.1y=0$
$y=-\frac{1.35}{1.1}\approx-1.1$
The solution of the equation is approximately the ordered pairs x,y: $(.3,-1.1)$
