\(1.6x-0.9y=5.1\)
\(-0.4x+1.3y=4.1\)
There are many ways to solve for x and y. This is one of the ways.
Solve for x in the first equation
\(1.6x-0.9y=5.1\)
\(1.6x=5.1+0.9y\)
\(x=\frac{5.1+0.9y}{1.6}\)
Substitute x in the second equation and solve for y
\(-0.4x+1.3y=4.1\)
\(-0.4\times\frac{5.1+0.9y}{1.6}+1.3y=4.1\)
\(\frac{5.1+0.9y}{1.6}+1.3y=-10.25\)
\(5.1+0.9y+1.3y=-16.4\)
\(0.9y+1.3y=-21.5\)
\(2.2y=-21.5\)
\(y≈-9.7727272727\)
Replace y in the first equation and solve for x
\(1.6x-0.9y=5.1\)
\(1.6x-0.9\times(-9.7727272727)≈5.1\)
\(1.6x-(-8.79545454543)≈5.1\)
\(1.6x+8.79545454543≈5.1\)
\(1.6x≈-3.69545454543\)
\(x≈-2.30965909089375\)
\(x≈-2.30965909089375 & y≈-9.7727272727\)
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