Question
Solve each system for $x$ and $y$ using Cramer's rule. Assume a and b are nonzero constants.$$ \begin{array}{r} x+b y=b \\ a x+y=a \end{array} $$
Step 1
The coefficient matrix is formed by the coefficients of x and y in the system of equations, which gives us the matrix: $$ \begin{bmatrix} 1 & b \\ a & 1 \end{bmatrix} $$ The determinant D is calculated as (1*1) - (b*a) = 1 - a*b. Show more…
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Solve each system for $x$ and $y$ using Cramer's rule. Assume a and b are nonzero constants. $$\begin{aligned} a x+b y &=\frac{b}{a} \\ x+y &=\frac{1}{b} \end{aligned}$$
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