Write as a Vector Equality -3x-4=7 , -2x+4y=3

Problem

−3*x−4=7,−2*x+4*y=3

Solution

1. Rearrange the first equation to align the variables x and y by adding 0*y and moving the constant term to the right side.

−3*x+0*y=11

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

([−3,0],[−2,4])

3. Define the variable vector and the constant vector based on the terms on the left and right sides of the equations.

Variable vector=([x],[y])

Constant vector=([11],[3])

4. Construct the vector equality by expressing the system in the form A*x=b

([−3,0],[−2,4])*([x],[y])=([11],[3])

Final Answer

([−3,0],[−2,4])*([x],[y])=([11],[3])

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