Solve the Matrix Equation [[3,4],[x,1]]=[[y,4],[7,1]]

$[\begin{array}{c} 3 & 4 \\ x & 1 \end{array}] = [\begin{array}{c} y & 4 \\ 7 & 1 \end{array}]$

Step 1

Write as a linear system of equations.

$3 = y 4 = 4 x = 7 1 = 1$

Step 2

Since $1 = 1$ is always true, the matrix equation has infinite solutions.

Infinite solutions satisfying the system.