Choose all of the system of equations which have no solution. x + 2y = 10 and 2y = 6 + 5x x = 8 − y and y = 6 + 5x 3x + 2y = 5 and 2y = 6 − 3x 3x = 2 − 4y and 4y = 7 − 3x

Third and fourth systems

Step-by-step explanation:

Let's check the first system:

x + 2y = 10

2y = 6 + 5x

Isolating x in the first equation, we have x = 10 - 2y. Applying that in the second equation we have:

2y = 6 + 5(10-2y)

2y = 6 + 50 - 10y

12y = 56

y = 4.6667

from the first equation, we have that x + 2*4.6667 = 10 -> x = 0.6667

So this system has a solution.

Checking now the second system:

x = 8 − y

y = 6 + 5x

using y from the second equation in the first equation, we have:

x = 8 - 6 - 5x

6x = 2

x = 0.3333

then, in the second equation:

y = 6 + 5*0.3333 = 7.6666

This system also has a solution

Third system:

3x + 2y = 5

2y = 6 − 3x

The second equation can be rewritten as:

3x + 2y = 6

We can see from both equation that the same expression (3x + 2y) has two values (5 and 6). So we can't solve this system.

Fourth system:

3x = 2 − 4y

4y = 7 − 3x

The first equation can be rewritten as 3x + 4y = 2

The second equation can be rewritten as 3x + 4y = 7

We can see from both equation that the same expression (3x + 4y) has two values (2 and 7). So we can't solve this system.

So, the systems that have no solution are the third and fourth systems

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

126.66 m²

step-by-step explanation:

the pertinent area formula is a = πr², where r is the radius.

here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²