All categories

3 years ago

What is the solution for the system of equations x+y=2 and x-y=4

1 answer:

5 0

X+y=2 (label equation one)
x-y=4 (label equation two)

y=-x+2 (equation one rearranged, label this equation equation three)

sub 3 into 2
x-(-x+2)=4
x+x-2=4
2x-2=4
2x=6
x=3
sub x=3 into equation one

3+y=2
y=-1

therefore x=3 and y=-1

You might be interested in

WRITE AN EQUATION FOR EACH OF THESE AND SOLVE IT TO FIND THE VALUE OF THE UNKNOWN NUMBER:

castortr0y [4]

a) a *5+5= 20

5a + 5 = 20

5a = 20 - 5

5a = 15

a = 15/5

a = 3

b) b/5 - 5 = 4

b/5 = 4 + 5

b/5 = 9

b =9*5

b = 45

8 0

2 years ago

Read 2 more answers

A rectangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region. Be sur

julsineya [31]

I hope this helps you

6 0

2 years ago

The company’s cost of manufacturing a single 1-inch binder is $0.25. What is the expected profit (in dollars) that the company w

pav-90 [236]

It should be noted that the mean and the standard deviation of the data given in will be 4.26 and 1.1011 respectively.

<h3>How to solve the mean.</h3>

From the complete information, the mean will be calculated as:

= (0.02 × 1) + (0.09 × 2) + (0.12 × 3) + (0.15 × 4) + (0.62 × 5)

E(X) = 4.26

The standard deviation will be calculated thus:

E(X²) = (0.02 × 1²) + (0.09 × 2²) + (0.12 × 3²) + (0.15 × 4²) + (0.62 × 5²)

E(X²) = 19.36

The standard deviation will then be the difference between the square root of 19.36 and 4.26². This will be 1.1011.

The expected profit of the company will be:

= 0.75 × E(X)

= 0.75 × 4.26

= $3.20

The mean of the total number of binders purchased will be:

= 4.26 + 2.74 = 7

The standard deviation will be 1.6658.

Lastly, the total expected profit will be:

= 0.75E(X) + 1.45E(Y)

= 0.75(4.26) + 1.45(2.74)

= 3.195 + 3.973

= 71.68

Learn more about standard deviation on:

brainly.com/question/24298037

4 0

2 years ago

Given EG = 16 and FH = 12, what is the length of one side of the rhombus? 6 units 8 units 10 units 14 units PLEASE HELP ONLY COM

ZanzabumX [31]

EG and FH are diagonals of the rhombus and the bisect each other at the centre to for a righ angle triangle with the side of the rhombus as the hypothenus.
By pythagoras theorem, $length = \sqrt{ 8^{2} + 6^{2} } = \sqrt{64+36} = \sqrt{100} =10 \ units$