16.95=a-0.516b+0.26c-0.516d
15.25=-0.512a+b-0.512c+0.26d
You asked:
Solve the system of equations:\[\begin{aligned}16.95 &= a - 0.516 b + 0.26 c - 0.516 d\\15.25 &= -\left( 0.512 a \right) + b - 0.512 c + 0.26 d\end{aligned}\]
MathBot Answer:
The system of equations has infinitely many solutions.
$$\begin{aligned}a &= \frac{131 c}{22994} + \frac{23865 d}{45988} + \frac{3102375}{91976}\\b &= \frac{5920 c}{11497} + \frac{131 d}{22994} + \frac{1495525}{45988}\end{aligned}$$
\(c\) is a free variable.
\(d\) is a free variable.