Advertisements
Advertisements
प्रश्न
Solve the following simultaneous equations by the substitution method:
5x + 4y - 23 = 0
x + 9 = 6y
Advertisements
उत्तर
The given equations are
5x + 4y - 23 = 0 ....(i)
x + 9 = 6y ....(ii)
Now, consider equation
x + 9 = 6y
⇒ x = 6y - 9 ....(iii)
Substituting the value of x in eqn. (i), we get
5(6y - 9) + 4y - 23 = 0
⇒ 30y - 45 + 4y - 23 = 0
⇒ 34y - 68 = 0
⇒ 34y = 68
⇒ y = `(68)/(34)` = 2
Putting the value of y in eqn. (iii), we get
x = 6(2) - 9
= 12 - 9
= 3
Thus, the solution set is (3, 2).
APPEARS IN
संबंधित प्रश्न
Solve the pair of linear (simultaneous) equation by the method of elimination by substitution:
2x + 3y = 8
2x = 2 + 3y
Solve the following pair of linear (simultaneous) equation using method of elimination by substitution :
2x - 3y + 6 = 0
2x + 3y - 18 = 0
Solve the following pair of linear (simultaneous) equation using method of elimination by substitution:
`[3x]/2 - [5y]/3 + 2 = 0`
`x/3 + y/2 = 2 1/6`
Solve the following simultaneous equations by the substitution method:
2x + y = 8
3y = 3 + 4x
Solve the following simultaneous equations by the substitution method:
x + 3y= 5
7x - 8y = 6
Solve the following simultaneous equations by the substitution method:
2x + 3y = 31
5x - 4 = 3y
Solve the following simultaneous equations by the substitution method:
7x - 3y = 31
9x - 5y = 41
Solve the following simultaneous equations by the substitution method:
0.5x + 0.7y = 0.74
0.3x + 0.5y = 0.5
The difference of two numbers is 3, and the sum of three times the larger one and twice the smaller one is 19. Find the two numbers.
If a number is thrice the other and their sum is 68, find the numbers.
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.
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
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.
Solve by the method of elimination
x – y = 5, 3x + 2y = 25
Solve by the method of elimination
3(2x + y) = 7xy, 3(x + 3y) = 11xy
Solve by the method of elimination
`4/x + 5y` = 7, `3/x + 4y` = 5
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
