Write as a Vector Equality 4y=-19 , -7x-2y=34

Problem

{[4*y=−19],[−7*x−2*y=34])

Solution

1. Rearrange the equations to align the variables x and y in standard form a*x+b*y=c

0*x+4*y=−19

−7*x−2*y=34

2. Identify the coefficients of x and y to form the column vectors for each variable.

Vector for *x=([0],[−7])

Vector for *y=([4],[−2])

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

Constant vector=([−19],[34])

4. Construct the vector equality by multiplying each variable by its corresponding coefficient vector and setting their sum equal to the constant vector.

x*([0],[−7])+y*([4],[−2])=([−19],[34])

Final Answer

x*([0],[−7])+y*([4],[−2])=([−19],[34])

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