If i= the square root of -1, what is the value of i to the 3rd power

Simultaneous equations 5x+y=28 x+y=2

ludmilkaskok [199]

Answer:

Step-by-step explanation:

$5x + y = 28$

$x + y = 8$

Solve the equation for y by moving 'x' to R.H.S and changing its sign

$5x + y = 28$

$y = 2 - x$

Substitute the given value of y into the equation 5x + y = 28

$5x + 2 - x = 28$

Solve the equation for x

Collect like terms

$4x + 2 = 28$

Move constant to R.H.S and change its sign

$4x = 28 - 2$

Subtract the numbers

$4x = 26$

Divide both sides of the equation by 4

$\frac{4x}{4} = \frac{26}{4}$

Calculate

$x = \frac{26}{4}$

Reduce the numbers with 2

$x = \frac{13}{2}$

Now, substitute the given value of x into the equation y = 2 - x

$y = 2 - \frac{13}{2}$

Solve the equation for y

$y = - \frac{9}{2}$

The possible solution of the system is the ordered pair ( x , y )

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Let's check if the given ordered pair is the solution of the system of equation:

plug the value of x and y in both equation

$5 \times \frac{13}{2} - \frac{9}{2} = 28$

$\frac{13}{2} - \frac{9}{2} = 2$

Simplify the equalities

$28 = 28$

$2 = 2$

Since , all of the equalities are true, the ordered pair is the solution of the system.

$(x \:, y \: ) = ( \frac{13}{2} \: , - \frac{9}{2})$

Hope this helps....

Best regards!!

5 0

3 years ago

Read 2 more answers

What is the polynomial of (-3,0)(2,0)(2,0)(3,0)

olga2289 [7]

Answer:(-2,0) and (3,0)

Step-by-step explanation:im not sure if its correct but it should be

7 0

2 years ago

Kerille is reading a book at the rate of 4.5 pages per minute. What ordered pair on a graph of his reading rate would represent

viva [34]

This is a linear equation y = mx, where:
m= slope or reading rate:
x = the number of minutes
y = the number of pages read.

So the equation becomes: y = 4.5.x
How many minutes it will take to read 90 pages (y):
90 = 4.5.x or x = 90/4.5 and x = 20 minutes
So the ordered pair will be (20,90)

5 0

3 years ago

Domain of f(x)=(1/4)^x

Bumek [7]

Answer: B. All real numbers

Step-by-step explanation:

See attached image.

3 0

1 year ago

Jose ha encontrado varios insectos. Hay 10 menos saltamontes que grillos. Hay 5 menos grillos que margaritas. Si Jose ha encontr

rewona [7]

Answer: There are 5 grasshoppers, 15 crickets and 20 ladybugs

Step-by-step explanation:

The question in english is:

Jose has found several insects. There are 10 less grasshoppers than crickets. There are 5 less crickets than ladybugs. If Jose has found 5 grasshoppers, how many ladybugs did he find and how many crickets? Write two equations to solve the problem.

Let's tag grasshoppers with $g$ , crickets with $c$ and ladybugs with $c$ .