हिंदी

Solve the Pair of Linear (Simultaneous) Equation by the Method of Elimination by Substitution : Y = 4x - 7 16x - 5y = 25

Advertisements
Advertisements

प्रश्न

Solve the pair of linear (simultaneous) equation by the method of elimination by substitution :
y = 4x - 7
16x - 5y = 25

योग
Advertisements

उत्तर

y = 4x - 7                                      ....(1)
16x - 5y = 25                                ....(2)

y = 4x - 7
Putting this value of y in (2)
∴ 16x - 5 (4x - 7) = 25
∴ 16x - 20x + 35 = 25
∴ - 4x = - 10
∴ x = `5/2`

From (1)
y = `4(5/2) - 7`
⇒ y = 10 - 7
⇒ y = 3
Solution is x = `5/2` and y = 3.

shaalaa.com
Methods of Solving Simultaneous Linear Equations by Elimination Method
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Simultaneous (Linear) Equations (Including Problems) - Exercise 6 (A) [पृष्ठ ७९]

APPEARS IN

सेलिना Concise Mathematics [English] Class 9 ICSE
अध्याय 6 Simultaneous (Linear) Equations (Including Problems)
Exercise 6 (A) | Q 6 | 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 pair of linear (simultaneous) equation by the method of elimination by substitution:
2x + 3y = 8
2x = 2 + 3y


Solve the pair of linear (simultaneous) equation by the method of elimination by substitution:
6x = 7y + 7
7y - x = 8


Solve the following pair of linear (Simultaneous ) equation using method of elimination by substitution :
2( x - 3 ) + 3( y - 5 ) = 0
5( x - 1 ) + 4( y - 4 ) = 0


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


Solve the following pair of linear (simultaneous) equation using method of elimination by substitution :
2x - 3y + 6 = 0
2x + 3y - 18 = 0


Solve th following pair of linear (Simultaneous ) equation using method of elimination by substitution :
`[ 2x + 1]/7 + [5y - 3]/3 = 12`

`[3x + 2 ]/2 - [4y + 3]/9 = 13`   


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:
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


A father's age is three times the age of his child. After 12 years, twice the age of father will be 36 more than thrice the age of his child. Find his present age.
* Question modified


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.


Solve by the method of elimination

2x – y = 3, 3x + y = 7


Solve by the method of elimination

x – y = 5, 3x + 2y = 25


Solve by the method of elimination

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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×