Write as a Vector Equality 3x=-3(3y-4) , 9x+27=36

Problem

3*x=−3*(3*y−4),9*x+27=36

Solution

1. Simplify the first equation by dividing both sides by 3

x=−(3*y−4)

x=−3*y+4

2. Rearrange the first equation into standard form a*x+b*y=c

x+3*y=4

3. Simplify the second equation by subtracting 27 from both sides.

9*x=36−27

9*x=9

4. Solve for x in the second equation.

x=1

5. Express the second equation in standard form a*x+b*y=c by including the y term with a coefficient of 0

9*x+0*y=9

6. Construct the vector equality by grouping the coefficients of x and y into a matrix and the constants into a vector.

([1,3],[9,0])*([x],[y])=([4],[9])

Final Answer

([1,3],[9,0])*([x],[y])=([4],[9])

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