Write as a Vector Equality y=3.2+x , 7.1-x=7.2y

Problem

{[y=3.2+x],[7.1−x=7.2*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 constants are on the right.

2. Rewrite the first equation y=3.2+x by subtracting x from both sides to get −x+y=3.2

3. Rewrite the second equation 7.1 - x = 7.2yb*y*s(u)*b*t*r*a*c*t*i*n*g.2yƒ*r*o*m*b*o*t*h*s(i)*d(e)*s(a)*n*d(s(u))*b*t*r*a*c*t*i*n*g.1ƒ*r*o*m*b*o*t*h*s(i)*d(e)*s(t)*o*g*e*tx - 7.2y = -7.1$.

4. Express the system as a linear combination of vectors by separating the coefficients of x and y into distinct column vectors.

5. Form the vector equality by setting the sum of the scaled variable vectors equal to the constant vector.

Final Answer

x*[[−1],[−1]]+y*[[1],[−7.2]]=[[3.2],[−7.1]]

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