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
Sloan [31]
3 years ago
6

Solve the following using substitution method

Mathematics
1 answer:
Wewaii [24]3 years ago
6 0

Solution :

2a + 2b = 7    ...1)

4a + 3b = 12   ...2)

In equation, 1)

a = (7 - 2b)/2   ...3)

Putting value of a in equation 2) we get :

4 × (7 - 2b)/2  + 3b = 12

2( 7 - 2b ) + 3b = 12

14 - 4b + 3b = 12

b = 2

Putting value of b in 3) we get :

a = ( 7 - 2×2)/2

a = 3/2 = 1.5

Now,

2x - 3y = 16   ...5)

x + 2y = -6    ...6)

x = -6 - 2y

Putting above value of x in eq 5) , we get :

2( -6 - 2y ) - 3y = 16

-12 - 4y - 3y = 16

7y = -28

y = -4

x = -6 - ( 2× -4 )

x = 2

Hence, this is the required solution.

You might be interested in
Please help me this question ​
Kazeer [188]
The answer is b ............
4 0
4 years ago
Find the greatest common factor of 9 and 27.
nexus9112 [7]

Answer:

9

Step-by-step explanation:

The greatest common factor of 9 is 9 and nine is a factor of 27 (9 x 3)

7 0
4 years ago
Find the two square roots of 0.25 write as a fraction first
s2008m [1.1K]
The fraction is 1/4 and the two square roots of 0.25 is 1/2 or 0.5. I hope this helped
4 0
4 years ago
A rectangular swimming pool that is 10ft wide bu 16ft long is surrounded bu a cement sidewalk of uniform width. If the area of t
Bess [88]

The width of the sidewalk would be 10ft.

Sorry if incorrect

6 0
3 years ago
1) (1 Point) : If-18 - x=9, then -5 +6x = ?
TiliK225 [7]
-167, because if you solve -18-x=9, x will be equal to -27. When you put -27 in place of the x in -5+6x, you get -167. Have a nice day!
3 0
3 years ago
Other questions:
  • In a particular faculty 60% of students are men and 40% are women. In a random sample of 50 students what is the probability tha
    13·1 answer
  • Answer the three questions please
    11·1 answer
  • Explain how you can use base-ten blocks to find 2.16 divided by 3
    13·1 answer
  • PLEASE HELP!!!! 20 POINTS!!!!
    13·1 answer
  • You begin factoring x2 + 8x – 20 into two binomials by writing (x )(x ). Which is a correct way to complete each factor?
    8·2 answers
  • A stock person at Walmart has decided that they would like to completely
    10·1 answer
  • Add​​ using a number line.
    11·1 answer
  • What is the range of f(x)=4^x
    14·2 answers
  • What is the y-intercept of the line given by the equation y= 3x + 4?
    14·2 answers
  • Can you guys help me on question six?! :)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!