All categories

3 years ago

What is the solution to the system of equations below?

Mathematics

2 answers:

Free_Kalibri [48]3 years ago

6 0

Answer: Infinite solutions.

Step-by-step explanation:

$y=-2x-6\\2y=-4x-12$

Plug the value of y into the second equation.

$\\ 2(-2x-6)=-4x-12\\-4x-12=-4x-12$

Add 12 on both sides.

$-4x-12+12=-4x-12+12\\-4x=-4x$

Add 4x on both sides.

$-4x+4x=-4x+4x$

$0=0$

kvv77 [185]3 years ago

3 0

Answer:

Infinitely many solutions

Step-by-step explanation:

The equation, when set up will be

2(-2x-6)=-4x-12

-4x-12=-4x-12

+12 +12 Add 12 to both sides

------------------------

-4x=-4x Divide by -4 to both sides

0=0 You get zero equals zero

Have a good day and stay safe!

You might be interested in

Help needed asap please help!!!!!

Setler79 [48]

Answer:

The bottom one

Step-by-step explanation:

Because they all are over five and you need a number that is under.

4 0

2 years ago

Read 2 more answers

In the diagram, segments AD and AB are tangent to circle C. Solve for x.

Irina-Kira [14]

The answer is A !!!!!!!!

the two segments AD and AB are equal therefore if you make the two equal to each other you will get the answer:

x^2+2=11 then you subtract two to put x squared on the side by itself
then you have x^2=9
then all you have to do is take the square root of 9 and x^2 and you get x=3
thefore the answer is A

5 0

3 years ago

Read 2 more answers

What is the answer please

Daniel [21]

Answer:

the process by which green plants turn carbon dioxide and water into food using energy from sunlight

4 0

2 years ago

Read 2 more answers

1. Solve for n: n+5/16 = -1 (A) 96 (B) -96 (C) 21 (D) -21

kati45 [8]

The answer is D -21

3 0

3 years ago

In an auditorium, a charity show is conducted in order to raise at least $3,750. The auditorium can accommodate up to 180 specta

Maksim231197 [3]

Answer:

See explanation

Step-by-step explanation:

Let $x,\ x\ge 0$ be the number of students and $y,\ y\ge 0$ be the number of adults on the show.

1. Tickets cost $15 for students, so x student tickets cost $15x.

Tickets cost $25 for adults, so y adult tickets cost $25y.

Total cost of all tickets is $(15x + 25y).

The charity show is conducted in order to raise at least $3,750, thus

$15x+25y\ge 3,750$

2. The auditorium can accommodate up to 180 spectators, hence

$x+y\le 180$

3. We get the system of inequalities:

$\left\{\begin{array}{l}x\ge 0\\y\ge 0\\x+y\le 180\\15x+25y\ge 3,750\end{array}\right.$

Plot all solutions sets to each inequality and the common region is the solution set to the system of inequalities. This region is not empty, so the charity will reach its goal. For example, if they sell 50 students tickets and 125 adult tickets, they will raise $\$(15\cdot 50+25\cdot 125)=\$3,875$

8 0

3 years ago