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

Problem

−4=−2−4−x,y=−4−x−2

Solution

1. Simplify the first equation by combining the constant terms on the right side.

−4=−6−x

2. Simplify the second equation by combining the constant terms on the right side.

y=−6−x

3. Isolate the variables in both equations to prepare for vector form.

x=−6+4

x=−2

y=−6−x

4. Substitute the value of x into the second equation to find y

y=−6−(−2)

y=−4

5. Express the results as a vector equality by grouping the variables and their corresponding values into column vectors.

[[x],[y]]=[[−2],[−4]]

Final Answer

[[x],[y]]=[[−2],[−4]]

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