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meriva
3 years ago
11

Help solve 1/2(X-34)=28+5X

Mathematics
2 answers:
IrinaK [193]3 years ago
6 0

Answer:

x= -10 and true

Step-by-step explanation:

if you plug -10 in for x you get -22=-22 which makes it true

ZanzabumX [31]3 years ago
4 0
X=-10

Solve for x by simplifying both sides of the equation, then isolating the variable.
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The sum of two numbers is 9.9, and the sum of the squares of the numbers is 53.21. What are the numbers?
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Answer:

There are two possibilities:

x_{1} = 3.5 and y_{1} = 6.4

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Step-by-step explanation:

Mathematically speaking, the statement is equivalent to this 2-variable non-linear system:

x + y = 9.9

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First, x is cleared in the first equation:

x = 9.9 - y

Now, the variable is substituted in the second one:

(9.9-y)^{2} + y^{2} = 53.21

And some algebra is done in order to simplify the expression:

98.01-19.8\cdot y +2\cdot y^{2} = 53.21

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Roots are found by means of the General Equation for Second-Order Polynomials:

y_{1} \approx \frac{32}{5} and y_{2} \approx \frac{7}{2}

There are two different values for x:

y = y_{1}

x_{1} = 9.9-6.4

x_{1} = 3.5

y = y_{2}

x_{2} = 9.9 - 3.5

x_{2} = 6.4

There are two possibilities:

x_{1} = 3.5 and y_{1} = 6.4

x_{2} = 6.4 and y_{2} = 3.5

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Answer:

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