1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Yuliya22 [10]
3 years ago
5

Solve by elimination:

Mathematics
1 answer:
Pie3 years ago
6 0

Answer:

B (5, 13)

Step-by-step explanation:

9x + 4y = 97

9x + 6y = 123

To solve by elimination, we want to <em>eliminate</em> a variable. To do this, we must make one variable cancel out.

First, we can see that both equations have 9x. To cancel out x, we must make <em>one</em> of the 9x's <em>negative</em>. To do this, multiply <em>each term</em> in the equation by -1.

-1(9x + 6y = 123)

-9x - 6y = -123

This is one of your equations. Set it up with your other given equation.

9x + 4y = 97

-9x - 6y = -123

Imagine this is one equation. Since every term is negative, you will be subtracting each term.

9x + 4y = 97

-9x - 6y = -123

___________

0x -2y = -26

-2y = -26

To isolate y further, divide both sides by -2.

y = 13

Now, to find x, plug y back into one of the original equations.

9x + 4(13) = 97

Multiply.

9x + 52 = 97

Subtract.

9x = 45

Divide.

x = 5

Check your answer by plugging both variables into the equation you have not used yet.

-9(5) - 6(13) = -123

-45 - 78 = -123

-123 = -123

Your answer is correct!

(5, 13)

Hope this helps!

You might be interested in
Simplify the expression-2(-9g+4)
xenn [34]

Answer:

18g - 8

Step-by-step explanation:

Multiply using the distributive property.

8 0
3 years ago
Read 2 more answers
H(x)=2x;find h(7) please help​
bearhunter [10]
2? bc if x=7 then it equals 2(7) which is 14 sooo i believe either 7 or 2
5 0
3 years ago
Read 2 more answers
Debbie did a survey of how many states the members of her class had visited. The
harkovskaia [24]

Answer:

17

Step-by-step explanation:

4 0
3 years ago
A circle centered at (-2,3) and contains point (5,9) which represents the equation
SIZIF [17.4K]
The standard form of the equation of a circle is (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center of the circle, (x,y) is a point of the circle, and r is the length of the radius of the circle. When the equation of a circle is written, h,k, and r are numbers, while x and y are still variables. (x-2)^2 + (y-k)^2 = 16 is an example of a circle. The problem gives us two of the three things that a circle has, a point (5,9) and the center (-2,3). We need to find the radius in order to write the equation. We substitute -2 for h, 3 for k, 5 for x, and 9 for y to get (5 - (-2))^2 + (9 - 3)^2 = r^2 We simplify: 49 + 36 = r^2, r^2 = 85. We only need to know r^2 because the equation of a circle has r^2. We now have all the information to write the equation of a circle. (x + 2)^2 + (y - 3)^2 = 85.
8 0
3 years ago
What is the answer to 5 divided by 1/3
Mars2501 [29]

Answer:

1 2/3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • How many times does 88 go in to 11
    10·2 answers
  • 3-(x-3)=25 solve the equation
    10·1 answer
  • What lesson can we learn from our past about Nativism​
    5·1 answer
  • How do I simplify this? thanks!
    14·1 answer
  • A line has a slope of 11 and passes through the point (5,7). Which of these is an equation for the line? O A. y-7 = -11(x - 5) B
    11·1 answer
  • What is the length of line segment KJ?
    13·1 answer
  • In what order do numbers go?
    13·2 answers
  • Which is the least common multiple of 5 12 15
    13·2 answers
  • you went to a coffee house with 2 friends and ordered an iced coffee and dessert which came to $12.96 how much is the tip if the
    9·1 answer
  • I need help in really confused ​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!