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1. What is the solution of the matrix equation?[: L1-62(-2, 1)(10, 6)(-4, 3)(-3, 4)

1. What is the solution of the matrix equation?[: L1-62(-2, 1)(10, 6)(-4, 3)(-3, 4)-example-1
User VisualStudioEspresso
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1 Answer

15 votes
15 votes

Answer:

(-3 , 4)

Step by step explanation:

1) 6x + 5y = 2

2) 5x + 4y = 1

we solve the first equation.

5y = 2 - 6x

y = (2 - 6x)/5

Then we replace Y in the second equation.

5x + 4*((2-6x)/ 5) = 1

5x + 8/5 - 24x/ 5 = 1

(8-24x)/5 + (5x*5)/5 = 1 * 5

(8-24x + 5x * 5)/ 5 = 5

8 - 24x + 25x = 5

8 + x = 5

X = -3

Then we replace x in the first equation.

(6*-3) + 5y = 2

-18 + 5y = 2

5y = 2 + 18

Y = 20/ 5

Y = 4

1. What is the solution of the matrix equation?[: L1-62(-2, 1)(10, 6)(-4, 3)(-3, 4)-example-1
User FuriousFolder
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