मराठी

Solve the Pair of Linear (Simultaneous) Equation by the Method of Elimination by Substitution: 2x - 3y = 7 5x + Y= 9 - Mathematics

Advertisements
Advertisements

प्रश्न

Solve the pair of linear (simultaneous) equation by the method of elimination by substitution :
2x - 3y = 7
5x + y= 9

बेरीज
Advertisements

उत्तर

2x - 3y = 7                                       ...(1)
5x + y = 9                                        ...(2)

5x + y = 9
∴ y = 9 - 5x                                     ...(3)
Putting this value of y in (1)
2x - 3 (9 - 5x) = 7
∴ 2x - 27 + 15x = 7
∴ 2x + 15x = 7 + 27
∴ 17x = 34
∴ x = 2
From (2)
y = 9 - 5(2) 
y = -1

shaalaa.com
Methods of Solving Simultaneous Linear Equations by Elimination Method
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Simultaneous (Linear) Equations (Including Problems) - Exercise 6 (A) [पृष्ठ ७९]

APPEARS IN

सेलिना Concise Mathematics [English] Class 9 ICSE
पाठ 6 Simultaneous (Linear) Equations (Including Problems)
Exercise 6 (A) | Q 2 | पृष्ठ ७९

संबंधित प्रश्‍न

Solve the pair of linear (simultaneous) equations by the method of elimination by substitution:
8x + 5y = 9
3x + 2y = 4


Solve the following pair of linear (simultaneous) equation using method of elimination by substitution:
3x + 2y =11
2x - 3y + 10 = 0


Solve the following pairs of linear (simultaneous) equation using method of elimination by substitution:
`x/6 + y/15 = 4`

`x/3 - y/12 = 4 3/4` 


Solve the following simultaneous equations by the substitution method:
2x + y = 8
3y = 3 + 4x


Solve the following simultaneous equations by the substitution method:
5x + 4y - 23 = 0
x + 9 = 6y


Solve the following simultaneous equations by the substitution method:
2x + 3y = 31
5x - 4 = 3y


Solve the following simultaneous equations by the substitution method:
0.4x + 0.3y = 1.7
0.7x - 0.2y = 0.8


Solve the following simultaneous equations by the substitution method:
3 - (x + 5) = y + 2
2(x + y) = 10 + 2y


Solve the following simultaneous equations by the substitution method:
7(y + 3) - 2(x + 2) = 14
4(y - 2) + 3(x - 3) = 2


The age of the father is seven times the age of the son. Ten years later, the age of the father will be thrice the age of the son. Find their present ages.


In a ABC, ∠A = x°, ∠B = (2x - 30)°, ∠C = y° and also, ∠A + ∠B = one right angle. Find the angles. Also, state the type of this triangle.


The ratio of passed and failed students in an examination was 3 : 1. Had 30 less appeared and 10 less failed, the ratio of passes to failures would have been 13 : 4. Find the number of students who appeared for the examination.


Samidha and Shreya have pocket money Rs.x and Rs.y respectively at the beginning of a week. They both spend money throughout the week. At the end of the week, Samidha spends Rs.500 and is left with as much money as Shreya had in the beginning of the week. Shreya spends Rs.500 and is left with `(3)/(5)` of what Samidha had in the beginning of the week. Find their pocket money.


Solve by the method of elimination

`x/10 + y/5` = 14, `x/8 + y/6` = 15


Solve by the method of elimination

13x + 11y = 70, 11x + 13y = 74


Five years ago, a man was seven times as old as his son, while five year hence, the man will be four times as old as his son. Find their present age


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×