Write as a Vector Equality -4x=y-8 , 4x+y=8

Problem

−4*x=y−8,4*x+y=8

Solution

1. Rearrange the first equation into standard form a*x+b*y=c by adding 4*x to both sides and adding 8 to both sides.

4*x+y=8

2. Observe that both equations in the system are identical.

4*x+y=8

4*x+y=8

3. Identify the coefficients of the variables x and y to form the column vectors.

Coefficients of *x:([4],[4])

Coefficients of *y:([1],[1])

4. Identify the constants on the right side of the equations to form the constant vector.

Constants:([8],[8])

5. Construct the vector equality by multiplying the variable scalars by their respective coefficient vectors.

x*([4],[4])+y*([1],[1])=([8],[8])

Final Answer

x*([4],[4])+y*([1],[1])=([8],[8])

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