Write as a Vector Equality 7x-3y=-2 , x=3/4y+1

Problem

7*x−3*y=−2,x=3/4*y+1

Solution

1. Rearrange the second equation into standard form a*x+b*y=c by multiplying by 4 to clear the fraction.

4*x=3*y+4

4*x−3*y=4

2. Identify the system of linear equations in standard form.

7*x−3*y=−2

4*x−3*y=4

3. Express the system as a vector equation by separating the coefficients of x and y into distinct vectors.

x*[[7],[4]]+y*[[−3],[−3]]=[[−2],[4]]

Final Answer

x*[[7],[4]]+y*[[−3],[−3]]=[[−2],[4]]

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