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]
2 years ago
6

Solve the following using substitution method

Mathematics
1 answer:
Wewaii [24]2 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
What is the image point (-2,-7) after a translation right 4 units and down 2 units
xenn [34]

Answer:

(2,-9)

Step-by-step explanation:

-2+4=2

-7-2=-9

down=negative

right=positive

left=negative

up=positive

7 0
3 years ago
Read 2 more answers
85% as a fraction or mixed number​
Sphinxa [80]
85/100 isnsvsisjdbbsbsjsjdjd
3 0
3 years ago
Read 2 more answers
4x^5 in verbal algebraic expression
disa [49]

Answer:

The product of 4 times the quantity x to the fifth power

6 0
3 years ago
A fenced in rectangular region with the dimensions 4 yards by 8 yards is suddenly expanded by the same distance in each dimensio
Korolek [52]

Answer:

The distance added to each dimension is 2 yards.

Step-by-step explanation:

The initial dimensions of the rectangular fence is 8 yards by 4 yards.

The initial area of the rectangular fence = area of a rectangle

area of a rectangle = length x width

So that,

The initial area of the fence = 8 x 4

                                              = 32

The initial area of the fence is 32 square yards.

But, with the new dimensions, area = 60 square yards.

(4 + x) x (8 + x) = 60

x^{2} + 12x + 28 = 60

x^{2} + 12x - 32 = 0

(x + 14) = 0 or (x - 2) = 0

x = -14 or x =2

Thus, x = 2

The distance added to each dimension is 2 yards.

4 0
3 years ago
Simplify. a2 · a5 a3 A) a3 B) a4 C) a7 D) a10
castortr0y [4]

a^{10}, that is D

when multiplying like variables add the exponents

= a^{2+3+5} = a^{10}


5 0
3 years ago
Read 2 more answers
Other questions:
  • Which number is a factor of 100?<br> O 8<br> o 12<br> O 15<br> O 20
    6·2 answers
  • The inequality of <br>8+4 times a number is greater than five times the number
    12·2 answers
  • Which is more, 1 pound or 12 ounces?​
    14·2 answers
  • The running time for movie a is 40 minutes more than twice the running time for movie
    11·1 answer
  • A sprinter travels a distance of 100 m in a time of 11.21 seconds.
    9·2 answers
  • -25m-10+10m+15<br> :) <br> pls help
    15·2 answers
  • A pet store has 9 tanks of fish. There are 5 fish in each tank. How many fish does the pet
    5·2 answers
  • Which could be the name of a point?<br><br>1: A<br><br>2: m<br><br>3: &lt;--&gt;<br> AB<br><br>4: AB
    6·2 answers
  • Evaluate if a=4&amp;b= 7 10 + (b − a) • 5 ​
    10·1 answer
  • Solve the system of equations:x + 3y - z = -4 2x - y + 2z = 13 3x - 2y - z = -9
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!