Write as a Vector Equality 40x-30y=95 , 6+60y=-28

Problem

{[40*x−30*y=95],[6+60*y=−28*x])

Solution

1. Rearrange the second equation into standard form a*x+b*y=c by adding 28*x and subtracting 6 from both sides.

6+60*y=−28*x

28*x+60*y=−6

2. Identify the coefficients of the variables x and y to form the column vectors for the vector equation.

Coefficients of *x:([40],[28])

Coefficients of *y:([−30],[60])

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

Constants:([95],[−6])

4. Construct the vector equality by multiplying the variable scalars by their respective coefficient vectors and setting them equal to the constant vector.

x*([40],[28])+y*([−30],[60])=([95],[−6])

Final Answer

x*([40],[28])+y*([−30],[60])=([95],[−6])

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