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
artcher [175]
3 years ago
10

Solve the system using elimination

Mathematics
1 answer:
Pie3 years ago
5 0

Answer:

(x, y) = (3, 1)

Step-by-step explanation:

given the 2 equations

2x + 3y = 9 → (1)

x + 5y = 8 → (2)

multiplying (2) by - 2 then adding to (1) will eliminate the term in x

multiply (2) by - 2

- 2x - 10y = - 16 → (3)

add 1(1) and (3) term by term

(2x - 2x) + (3y - 10y) = (9 - 16)

- 7y = - 7 ( divide both sides by - 7 )

y = 1

Substitute y = 1 in either (1) or (2) and solve for x

(1) : 2x + 3 = 9 ( subtract 3 from both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Solution is (3, 1 )


You might be interested in
Which sequence of transformations produces R’S’T’ from RST?
inn [45]

Answer:

A translation 2 units right and then a reflection over the x-axis

Step-by-step explanation:

The given vertices of ΔRST are R(0, 0), S(-2, 3), and T(-3, 1)

The vertices of triangle ΔR'S'T' are (2, 0), (0, -3), (-1, -1)

The points are plotted with the aid of MS Excel, and by observation, we have that the image of ΔRST is located on the other side of the x-axis with each coordinate on ΔR'S'T' shifted 2 units to the right of ΔRST

A translation of ΔRST 2 units right gives;

(0 + 2, 0) = (2, 0), (-2 + 2, 3) = (0, 3), and (-3 + 2, 1) = (-1, 1), to give;

(2, 0), (0, 3), and (-1, 1)

A reflection of the point (x, y) across the x-axis gives (x, -y)

A reflection of the above points across the x-axis gives;

(2, 0) reflected about x-axis → (2, 0) reflected about x-axis → (0, -3), and (-1, 1)  reflected about x-axis → (-1, -1), which are the points of ΔR'S'T'

Therefore, the sequence of transformations that produces R'S'T' from RST are;

A translation 2 units right and then a reflection over the x-axis

6 0
3 years ago
Is table A liner or nonlinear
Kipish [7]
I think table A is liner
7 0
3 years ago
How do I solve this?
iren2701 [21]
First you collect the like term then variable one side coefficient one side and constant
8 0
3 years ago
Read 2 more answers
How many lines of symmetry does the picture have? <br> A. 2<br> b. 3<br> c. 0<br> d.1
Vsevolod [243]
0 is th right answer
3 0
2 years ago
Read 2 more answers
Simplify: 4 square root of 2 plus square root of 32 minus square root of 16
VMariaS [17]
4\sqrt{2}+\sqrt{32}-\sqrt{16}=4\sqrt{2}+4\sqrt{2}-4=8\sqrt{2}-4
5 0
2 years ago
Other questions:
  • Veronica has received a $3,000 gift and is looking for a bank to start a savings account. Which option would be the best for her
    13·2 answers
  • Which expression represents the phrase, "one third the sum of 12 and a number"?
    10·2 answers
  • Batting averages in baseball are expressed as decimals to the thousandths place. Antonio gets a hit 1 out of every 3 times at ba
    14·1 answer
  • A paintER painted about half a room in half a day. Coley estimated the painter would paint 7 Rooms in 7 days. Is coley estimate
    5·1 answer
  • Amber is making a scale drawing of a movie screen. The actual dimensions of a movie screen in her local theater are 60 ft wide a
    5·1 answer
  • Find the radius of the circle with diameter DG if OG = 12 cm and OD = 5 cm
    6·1 answer
  • Solve for p.<br>1/3(4p-9)=8p+12
    15·2 answers
  • In Brownsville Texas it is 80°F the temperature is expected to drop 1.5° each hour in Mesquite Texas is 94°F and the temperature
    11·1 answer
  • X + 26 = 39; x =<br><br><br><br> I NEED HELP !!
    7·2 answers
  • Parallelogram ABCD is similar to the parallelogram EFGH. What is the length of GH? 
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!