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
Andre45 [30]
3 years ago
5

Solve the simultaneous equations

Mathematics
1 answer:
Contact [7]3 years ago
7 0

Answer:

The solution for given system of equations is: x = 6 and y = 3

Or

(6,3)

Step-by-step explanation:

Given equations are:

3x+4y=30\ \ \ Eqn\ 1\\3x-y=15\ \ \ \ Eqn\ 2

There are three methods to solve simultaneous equations

  1. Elimination
  2. Substitution
  3. Co-efficient method

We will use the elimination method as the coefficients of x in both equations are already same

Subtracting equation 2 from equation 1

3x+4y - (3x-y) = 30-15\\3x+4y-3x+y = 15\\5y = 15\\\frac{5y}{5} = \frac{15}{5}\\y = 3

Putting y = 3 in equation 2

3x-3 = 15\\3x = 15+3\\3x = 18\\\frac{3x}{3} = \frac{18}{3}\\x =  6

Hence,

The solution for given system of equations is: x = 6 and y = 3

Or

(6,3)

You might be interested in
If you use the addition property of equality , what number would you add to both sides of the equal sign to isolate the variable
kkurt [141]

Answer:

The answer is "\frac{26}{7}"

Step-by-step explanation:

The whole question can be found in the file attached.

\to x + \frac{5}{7} = \frac{31}{7}\\\\

Subtracting the \frac{5}{7} from both sides of the equations:

\to x +\frac{5}{7}  - \frac{5}{7}  = \frac{31}{7}  - \frac{5}{7} \\\\

                    = \frac{31-5}{7} \\\\= \frac{26}{7} \\\\

5 0
3 years ago
A rectangular picture frame measures 4.0 inches by 5.5 inches. To cover the picture inside the frame with glass costs $0.99 per
Natali [406]
<span>What will be the cost of the glass to cover the picture? 
</span>
D.$21.78 
6 0
3 years ago
Read 2 more answers
A square postage stamp has area 1280 mm. About how long is each​ side?
Afina-wow [57]

Answer:

Each side is 35.78 mm

Step-by-step explanation:

A square would have 4 equal sides.  Since area of a square is x^2, where x is one side, we can write:

x^2 = 1280

x = 35.78 mm

Each side is 35.78 mm

7 0
2 years ago
Given that a=4 and b=5. evaluate : a²+3b​
andreev551 [17]

Answer:

31

Step-by-step explanation:

4 squared is 16, and 5 times 3 is fifteen if you add them you get 31

3 0
3 years ago
Read 2 more answers
How do I do this 7:13 21:39
GarryVolchara [31]
That is a ratio. 7 x 3 = 21 and 13 x 3 = 39.
5 0
3 years ago
Other questions:
  • Barry’s Bagel Emporium sells a dozen bagels for $5.00. This price is no longer high enough to create a profit. The owner decides
    9·1 answer
  • A boat travels N 31° E for 65 miles and then N 59° W for 102 miles. Find the distance of the boat from its starting point.
    6·2 answers
  • Ella spent her whole allowance of $2.00, plus the 16¢ she had left over from last week, onbubble gum. If the pieces of gum had b
    7·1 answer
  • Find the are of the parallelogram 3 ft 7 ft
    11·1 answer
  • The 180 falls between which two whole numbers? A) 11 and 12 B) 12 and 13 C) 13 and 14 D) 14 and 15
    9·2 answers
  • What is the common difference between consecutive terms in the following arithmetic sequence? 51, 47, 43, 39, ...
    13·2 answers
  • You have $30 dollars saved up. Every week you spend $6 at the arcade. Write an equation in slope intercept form that shows how m
    8·1 answer
  • During one week, Rosa spends 21 7/12 hours reading or playing basketball. She reads 134 hours each day. How long does she play b
    5·1 answer
  • Solve the equation 13Z/Z+1 =11-3i, Z£C where Z=X+yi X&amp;Y£R?​
    5·1 answer
  • A.10<br> B.70<br> C.110<br> D.170<br><br> Help pls asap
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!