Write as a Vector Equality 9x+4y=9/4 , y=4x-1

Problem

9*x+4*y=9/4,y=4*x−1

Solution

1. Rearrange the second equation into standard form A*x+B*y=C by subtracting 4*x from both sides.

−4*x+y=−1

2. Identify the coefficients of x and y from both equations to form a coefficient matrix.

([9,4],[−4,1])

3. Define the vector of variables and the vector of constants from the right-hand sides of the equations.

x=([x],[y])

b=([9/4],[−1])

4. Express the system as a single vector equality by multiplying the coefficient matrix by the variable vector.

x*([9],[−4])+y*([4],[1])=([9/4],[−1])

Final Answer

x*([9],[−4])+y*([4],[1])=([9/4],[−1])

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