Write as a Vector Equality 2x+2y=34 , x=2+2y

Problem

2*x+2*y=34,x=2+2*y

Solution

1. Rearrange the equations into standard form a*x+b*y=c so that the variables x and y are on the left side and the constants are on the right side.

2*x+2*y=34

x−2*y=2

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

Coefficients of *x:([2],[1])

Coefficients of *y:([2],[−2])

3. Identify the constants on the right side to form the resultant vector.

Constants:([34],[2])

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

x*([2],[1])+y*([2],[−2])=([34],[2])

Final Answer

x*([2],[1])+y*([2],[−2])=([34],[2])

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