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const2013 [10]
3 years ago
13

Find solution to the system of linear equations. 3x1 + 6x2 = 2 , 9x1 + 12x2 = 1

Mathematics
1 answer:
iogann1982 [59]3 years ago
6 0

Answer:

x₁ = -1

x₂ = 5/6

Step-by-step explanation:

The equations of the given linear system are:

3x_1 +6x_2=2\\9x_1 +12x_2 = 1

Multiply the first equation by -2 and add it to the second one to solve for x₁:

-6x_1 -12x_2=-4\\9x_1 +12x_2 +(-6x_1 -12x_2)= 1-4\\3x_1=-3\\x_1=-1

Since we already know the value of x₁, simply replace it in the first equation  to solve for x₂:

3x_1 +6x_2=2\\x_2=\frac{2+3}{6} =\frac{5}{6}

The solution for the system is x₁ = -1 and x₂ = 5/6

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Answer for number 19
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I’m in High school I never did that

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