Write as a Vector Equality 8x-4y=7 , y=2x+5

Problem

8*x−4*y=7,y=2*x+5

Solution

1. Rearrange the second equation into standard form a*x+b*y=c by subtracting 2*x from both sides.

−2*x+y=5

2. Identify the system of linear equations.

8*x−4*y=7

−2*x+y=5

3. Express the system as a linear combination of constant vectors multiplied by the variables x and y

x*[[8],[−2]]+y*[[−4],[1]]=[[7],[5]]

Final Answer

x*[[8],[−2]]+y*[[−4],[1]]=[[7],[5]]

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