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loris [4]
3 years ago
6

How do i use systems of equations to eliminate two problems that are: -9x+2y=-24 and -x+2y=8

Mathematics
1 answer:
gulaghasi [49]3 years ago
7 0
Eliinate y's
multiply top eqatyion by -1 and add to 2nd

9x-2y=24
<u>-x+2y=8 +</u>
8x+0y=32

8x=32
divid both sides b y8
x=4

sub back

-x+2y=8
-4+2y=8
add 4 to both sides
2y=12
divide both sides by 2
y=6
(x,y)
(4,6)
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Step-by-step explanation:

If we apply  Newton's iterations method, we get a new guess of a zero of a function, f(x), xₙ₊₁, using a previous guess of, xₙ.

xₙ₊₁ = xₙ - f(xₙ) / f'(xₙ)

Given;

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substitute in "-cot x" into the equation

xₙ₊₁ = xₙ - (- cot x)

xₙ₊₁ = xₙ + cot x

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x₂ =  0.7 + 1.18724

x₂ = 1.88724

 

second iteration

x₃ = 1.88724 + cot (1.88724)

x₃ = 1.88724 - 0.32744

x₃ = 1.5598

To four decimal places = 1.5598

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