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Leona [35]
1 year ago
9

What is the solution to this matrix equation?[ -1 4 3 2] [x y] = [-26 8] i need to find (x=?) and (y=?)

Mathematics
1 answer:
Ghella [55]1 year ago
5 0

Answer:

x: \frac{26}{3y}

y: \frac{26}{3x}

Part A: Finding X

<u>Simplify the equation.</u>

-4*3*(2xy)=-26*8\\-12*(2xy)=-26*8\\-24*(xy)=-26*8\\-24*xy=-26*8\\-24*xy=-208

<u>Divide terms.</u>

\frac{(-24 * (xy))}{-24y}\\\\Cancel~"-24"\\\\\frac{(-24) * xy}{(-24)y} \\= \boxed{\frac{-208}{-24y}}\\\\\\Cancel~"y"\\\\\frac{x(y)}{(y)} = \boxed{\frac{-208}{-24y} }\\x \div 1 = \frac{-208}{-24y}

<u>Factor -8.</u>

x = \frac{-8(26)}{-24y}(Cancel~"-8")\\x = \frac{26}{3y}

Part B: Finding Y

<u>Simplify.</u>

-4*3*(2xy)=-26*8\\-12*(2xy)=-26*8\\-24*(xy)=-26*8\\-24*xy=-26*8\\-24*xy=-208

<u>Divide.</u>

\frac{(-24*(xy))}{-24x} = \frac{-208}{-24x}\\\\Cancel~"-24"\\= \frac{xy}{x} = \frac{-208}{-24x}\\\\Cancel~"x"\\= \frac{-208}{-24x}

<u>Factor.</u>

y = \frac{-8(26)}{-24x}\\y = \frac{-8(26)}{-8(3x)} (Cancel -8)\\y = \frac{26}{3x}

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