Write as a Vector Equality (2x+5)/17-(5-y)=60 , (y+62)/2-(1-x)=40

Problem

{[(2*x+5)/17−(5−y)=60],[(y+62)/2−(1−x)=40])

Solution

1. Simplify the first equation by multiplying all terms by 17 to clear the fraction.

(2*x+5)/17−5+y=60

2*x+5−85+17*y=1020

2*x+17*y=1100

2. Simplify the second equation by multiplying all terms by 2 to clear the fraction.

(y+62)/2−1+x=40

y+62−2+2*x=80

2*x+y=20

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

Vector for *x=([2],[2])

Vector for *y=([17],[1])

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

Constant vector=([1100],[20])

5. Construct the vector equality by combining the variable components and the constant vector.

x*([2],[2])+y*([17],[1])=([1100],[20])

Final Answer

x*([2],[2])+y*([17],[1])=([1100],[20])

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