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Sauron [17]
3 years ago
9

Use the substitution method to solve the system of equations. Is there a unique solution, no solution, or infinitely many soluti

ons? show your work for this question
12x + 4y = 60
3x + y = 15
Mathematics
2 answers:
Amanda [17]3 years ago
7 0
Okay the first one can't have anything done to it. the second one is that you move all terms that don't contain to right side and solve
olga_2 [115]3 years ago
6 0
I hope this helps you


-4/3x+y=15


-12x-4y= -60


12x+4y=60


0=0


no solution
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Murljashka [212]

82x - 33 ✅

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}

5x + 11(7x - 3) \\  = 5x + 77x - 33 \\  = 82x - 33

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3 0
2 years ago
PLEASE HELP!!!!!!!!!<br> Make sure you show all your work for full points. What is o?
Pie

Answer:

  o = 54

Step-by-step explanation:

The angle sum theorem tells you the sum of angles in a triangle is 180°. The definition of a linear pair tells you the two angles of a linear pair total 180°. Together, these relations tell you that an exterior angle of a triangle is equal to the sum of the remote interior angles.

In this geometry, the angle marked 78° is exterior to the left-side triangle. That means ...

  78° = o° +24°

  o° = 78° -24° = 54°

The value of 'o' is 54.

__

<em>Additional comment</em>

n° is the supplement of 78°, so is 102°.

m° is the difference between 102° and 22°, so is 80°.

6 0
2 years ago
Read 2 more answers
A store is selling 5 cans of tomato sauce for 4.50 what is the unit price
andrew-mc [135]
The unit price is 90 cents per can of tomato sauce.
6 0
2 years ago
Read 2 more answers
Patrice user a $15 gift certificate when she purchased a pair of sandals. After 8% sales tax was applied to the price of the san
ASHA 777 [7]

Answer:

The sandals cost before tax $25.

Step-by-step explanation:

Let us assume that the sandals cost before tax $x.

So, after giving an 8% tax the price will be x(1 + \frac{8}{100}) = 1.08x.

If the $15 gift certificate on that after tax price and the final cost of the sandals becomes $12, then

1.08x - 15 = 12

⇒ 1.08x = 27

⇒ x = $25

Hence, the sandals cost before tax $25. (Answer)

4 0
3 years ago
Any help with this question please?
taurus [48]

Answer:

B.a=b, c≠0

C.a=b, c=0

D.a-b=1, c≠1

Step-by-step explanation:

The equation given is c = ax - bx. We can factor the right-hand side to obtain an equivalent equation which is c = (a-b)x

Let’s explore each answer choice given. We are looking for cases where there is no one solution for the equation.

A

a-b = 1 so the right-hand side becomes 1x and we have x=c. Since c is 0 we have one solution that is x=0

B

a=b so a-b =0 and the equation becomes 0=c but the answer choice says c does not equal zero. So in this case there is no solution. This is a correct answer to the problem.

C

This is the same as choice B but since C =0 both sides of the equation equal zero. We get 0=0 but notice that this is true no matter what the value of x is so this equation is called identity and any value of x will do so there isn’t one solution but rather infinitely many. This is another right answer.

D

Here a-b=1 so we end up with x = c and since c doesn’t equal one any value of x except 1 is a solution so there isn’t one solution but infinitely many. This too is an answer to the question.

E

Since a doesn’t equal b and since c = 0 we have (a-b)x = 0 so. Either a-b is zero but since a and b are different this can’t be or x is zero. This there is one solution: x=0.

<em>From the above, the answer to the question is choices </em><em>B, C, and D</em>

8 0
3 years ago
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