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3 years ago

What is the solution of the system? y = 5x x + y = 12

Mathematics

2 answers:

Norma-Jean [14]3 years ago

7 0

Answer:

Step-by-step explanation:

y=5x

+5(y)=(12-x)+5 which distributing is +5y= +60-5x

y=5x

+5y=+60-5x

6y=60

y=10

10=5x

x=2

motikmotik3 years ago

4 0

Answer:

<u>x = 3</u>

Step-by-step explanation:

y = 5x

x + y = 12

x + 5x = 12 (substitute 5x in the place of y)

6x = 12

x = 12/6

<u>x = 3</u>

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Select the two values of x that are roots of this equation x^2-5x+2=0

Nataly [62]

The roots of the equation is x = 4.56 OR x = 0.44

<h3>Quadratic equation</h3>

From the question, we are to determine the roots of the given equation

The given equation is

x² -5x +2 = 0

Using the formula method,

$x =\frac{-b \pm \sqrt{b^{2}-4ac } }{2a}$

In the given equation,

a = 1, b = -5, c = 2

Putting the values into the formula,

$x =\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(2) } }{2(1)}$

$x =\frac{5 \pm \sqrt{25-8} }{2}$

$x =\frac{5 \pm \sqrt{17} }{2}$

$x =\frac{5 + \sqrt{17} }{2}$ OR $x =\frac{5 - \sqrt{17} }{2}$

$x =\frac{5 + 4.12}{2}$ OR $x =\frac{5 - 4.12}{2}$

$x =\frac{9.12}{2}$ OR $x =\frac{0.88}{2}$

x = 4.56 OR x = 0.44

Hence, the roots of the equation is x = 4.56 OR x = 0.44

Learn more on Quadratic equation here: brainly.com/question/8649555

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