Write as a Vector Equality 5x+2y=8 , 9x-4y=2-22

Problem

{[5*x+2*y=8],[9*x−4*y=2−22])

Solution

1. Simplify the constant terms on the right side of the second equation by calculating 2 - 22$.

9*x−4*y=−20

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

Coefficients of *x:([5],[9])

Coefficients of *y:([2],[−4])

3. Express the system as a linear combination of these column vectors equated to the vector of constants.

x*([5],[9])+y*([2],[−4])=([8],[−20])

Final Answer

x*([5],[9])+y*([2],[−4])=([8],[−20])

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