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
Hunter-Best [27]
3 years ago
13

The table can be used to determine the solution of equations, 2x - 2y = 6 and 4x + 4y = 28.

Mathematics
1 answer:
NeTakaya3 years ago
3 0

Answer:

(5, 2)

Step-by-step explanation:

Given the following system of equations;

2x - 2y = 6  ......equation 1.

4x + 4y = 28  ......equation 2.

To get an equivalent equation, we would multiply eqn 1 by 2;

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

The new equivalent system of equations are;

4x - 4y = 12

4x + 4y = 28  

Adding the equivalent system of equations, we have;

(4x + 4x) + (-4y + 4y) = (12 + 28)

8x + 0 = 40

8x = 40

x = 40/8

<em>x = 5</em>

Next, we would find the value of y;

2x - 2y = 6

Substituting the value of x, we have;

2(5) - 2y = 6

10 - 2y = 6

Rearranging the equation (collecting like terms), we have;

2y = 10 - 6

2y = 4

y = 4/2

<em>y = 2</em>

<em>Therefore, the solutions to the new system of equations are 5 and 2.</em>

<u>Check:</u>

2x - 2y = 6

Substituting the values, we have;

2(5) - 2(2) = 6

10 - 4 = 6

6 = 6

You might be interested in
Please help and answer why
Brilliant_brown [7]

2 sticks of butter

5-1=4

4/2=2

She already makes 1 cake so we can subtract 5-1

2 cakes can be made per stick of butter so we do 4/2 which is 2

8 0
3 years ago
PLEASE HELP ME THANKS IF u do
garik1379 [7]

Answer:

The third one

Step-by-step explanation:

It can't be the first one since the peak is 4 since it is the highest

It can't be the second one because the data is all different

It could be the third one since their are gaps

And It can't be the fourth one because the range is 7

So it must be the third one

6 0
3 years ago
The left and right page numbers of an open book are two consecutive integers whose sum is 229
alukav5142 [94]

Answer:

114, and 115

Step-by-step explanation:

114+115 = 229

6 0
3 years ago
Read 2 more answers
plz help me i dont want the answer i just wanna know how to do it if i fail this test i fail my grade plz hep
hoa [83]
I’m pretty sure his speed is 1 mile per hour. hope this helps you!
5 0
2 years ago
Read 2 more answers
If a triangle has a 50° angle, what is the sum of the other two angles?
12345 [234]

Answer:

130

All of the angles on a triangle add up to 180 degrees.

8 0
3 years ago
Other questions:
  • what is the equation for the line that is perpendicular to y=2x and passes through the point (-3, 8.5)
    5·1 answer
  • What is cos 45º?<br>See picture for more details ​
    5·2 answers
  • CAN SOMEONE PLEASE HELP ME
    12·2 answers
  • Various problems with data collection can cause some observations to be missing. Suppose a data set has 20 cases. Here are the v
    10·1 answer
  • 6 pizzas shared equally. Each child got 1/9 of a pizza. How many children were in the group?
    5·2 answers
  • Need help finding the value of X. Thanks
    7·2 answers
  • Which angles are vertical angles in the figure shown? Select two answers.
    6·2 answers
  • Help pls appreciate it pls
    9·1 answer
  • Bonnie’s Bakery goes through 22 4/5 cups of vegetable oil in 2 weeks. If they use the same amount each week, how much do they go
    13·1 answer
  • What is part of 1 minute and 5 seconds
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!