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3 years ago

Estimate the solution to the system of equations.

Mathematics

1 answer:

Georgia [21]3 years ago

5 0

Answer:

x = 4 / 3, y = 7 / 3

Step-by-step explanation:

We are given the following system of equations;

{ 7x - y = 7, ⇒ Let us multiply the first equation by 2,

x + 2y = 6 }

2 * ( 7x - y = 7 ) ⇒ 14x - 2y = 14 ⇒ Now add the two equations

+ x + 2y = 6 + x + 2y = 6

14x + x = 14 + 6 ⇒ Simplify

15x = 20,

x = 4 / 3 ⇒ Now substitute this value of x into the first equation to solve for the value of y,

7 * ( 4 / 3 ) - y = 7 ⇒ Simplify,

28 / 3 - y = 7,

y = 7 / 3

Solution; x = 4 / 3, y = 7 / 3

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Solve the following equation, using the Bhaskara formula: x² - 5x + 6 = 0

kramer

$x^2-5x+6=0$

$x=\frac{-(-5)\pm\sqrt{(-5)^2-4\times1\times6}}{2\times1}\Leftrightarrow$

$\Leftrightarrow x=\frac{5\pm\sqrt{25-4\times6}}{2}\Leftrightarrow$

$\Leftrightarrow x=\frac{5\pm\sqrt{25-24}}{2}\Leftrightarrow$

$\Leftrightarrow x=\frac{5\pm\sqrt{1}}{2}\Leftrightarrow$

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$\Leftrightarrow x=\frac{5-1}{2}\;\;\;\vee\;\;\;x=\frac{5+1}{2}\Leftrightarrow$

$\Leftrightarrow x=\frac{4}{2}\;\;\;\vee\;\;\;x=\frac{6}{2}\Leftrightarrow$

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Answer: $x\in\{2\;;\;3\}$

4 0

3 years ago

Read 2 more answers

If the discriminant is 16 in a quadratic equation what is true about its solutions

olganol [36]

If the discriminant is a positive number, there will be 2 possible solutions. If you replace the entire section of b²-4ac with 16, you will see that the equation becomes; (-b+-√16)/2a --> leading to an answer with the + and another with the -.

If the discriminant is 0, there will be 1 possible solution, (again replace this into the discriminant value) (-b)/2a ---> this formula is used to also find the x coordinates of a vertex, fyi.

If the discriminant is a negative number, there will be no solution (since squareroot of a negative number is not possible)

Hope I helped :)

8 0

3 years ago

Let the graph of g be a vertical stretch by a factor of 2, followed by a translation 5 units down of the graph of f(x) = e". Wri

Burka [1]

Answer:

g(x) = 2e - 5

Step-by-step explanation:

f(x) = e

2 f(x) = 2e : vertical stretch by a factor 2

2 f(x) - 5 : transition 5 units down

g(x) = 2 f(x) - 5 = 2e - 5

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