Write as a Vector Equality y=4x+2 , -6x+3y=-6

Problem

{[y=4*x+2],[−6*x+3*y=−6])

Solution

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

−4*x+y=2

−6*x+3*y=−6

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

x* coefficients: *([−4],[−6])

y* coefficients: *([1],[3])

3. Identify the constants on the right side of the equations to form the result vector.

Constants: *([2],[−6])

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

x*([−4],[−6])+y*([1],[3])=([2],[−6])

Final Answer

x*([−4],[−6])+y*([1],[3])=([2],[−6])

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