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3 years ago

How many solutions does this linear system have? Y= -1/2x + 4 x + 2y=-8

Mathematics

1 answer:

kkurt [141]3 years ago

4 0

Answer:

No solutions

Step-by-step explanation:

$y=-\dfrac{1}{2}x+4 \\\\x+2y=-8$

Substitute:

$x+2(-\dfrac{1}{2}x+4)=-8\\\\x-x+8=-8\\\\8=-8$

This system has no solutions.

Hope this helps!

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Consider the following sets. U = {ordered pairs on a coordinate plane} A = {ordered pair solutions to y = x} B = {ordered pair s

4vir4ik [10]

Answer:

(0,0)

Step-by-step explanation:

We have,

U = { (x,y) : x,y belong to real numbers }

A = { (x,y) : (x,y) is a solution of y=x }

B = { (x,y) : (x,y) is a solution of y=2x }

We need to find the ordered pair (x,y) that belong to A $\bigcap$ B.

Let, (x,y) belong to A $\bigcap$ B

i.e. (x,y) belong to A and (x,y) belong to B

i.e. y = x and y = 2x

i.e. x = 2x

i.e. x = 0

Now, substitute x= 0 in any of the equation say y = x, we get y = 0.

Hence, the ordered pair satisfying A $\bigcap$ B is (0,0).

5 0

3 years ago

Read 2 more answers

What's the circumference of a circle with a radius of 7 feet?

damaskus [11]

The circumference of the circle with 7 feet radius is 43.96 feet. This is computed using the formula in solving the circumference, 2 times Pi times radius. Substituting the values given, circumference is equal to 2 times Pi (3.14) times 7 feet, which give us the answer of 43.96 feet.

8 0

4 years ago

He meatloaf sold 250 units at a cost of $500 and sold at $10 per plate. The grilled chicken sold 210 units at a cost of $546 and

creativ13 [48]

Answer:

They are the same

Step-by-step explanation:

4 0

3 years ago

Sharon is twice as old as brian, and in 5 years the sum of their ages will be 25 years. find their present ages.

Mama L [17]

Sharon is 10
Brian is 5

In five years, they will both be 5 years older, so they will be a combined 10 years older. If you subtract 10 years from 25, that means that right now their ages add up to 15. If Sharon is twice as old as Brian, than her age is made up of 2/3 of the remaining 15 years, and Brian's age is 1/3 of the remaining 15. That means Sharon is 10 and Brian is 5.

If math is needed:

Sharon = x
Brian = y
x = 2y

(x + 5 years) + (y + 5 years) = 25 years
x + 5 + y + 5 = 25
x + y + 10 = 25
x + y = 15
(substitute "x" with "2y")
x + y = 15
(2y) + y = 15
3y = 15
y = 5 ( Brian is 5)
use y value to find x
x = 2y
x = 2(5)
x = 10 ( Sharon is 10)

8 0

3 years ago

The sum of two numbers is 51. The larger number is 7 more than the smaller number what are the numbers

Veseljchak [2.6K]

The numbers are 22 and 29

7 0

4 years ago