1.5x+2.4y=1.8,2.5(x+1)=7y
Answers
Step-by-step explanation:
Given :-
1.5x+2.4y=1.8
2.5(x+1)=7y
To find :-
Solve the pair of linear equations in two variables?
Solution :-
Given pair of linear equations in two variables are
1.5x+2.4y=1.8 ------(1)
On multiplying with 10 both sides then
=> 15x+24y = 18
=> 3(5x+8y) = 3×6
On cancelling 3 both sides
=> 5x+8y = 6 --------(2)
and
2.5(x+1)=7y -------(3)
=> 2.5x + 2.5 = 7y
On multiplying with 10 both sides then
=> 25x + 25 = 70y
=> 5(5x+5)=5×14y
On cancelling 5 both sides
=> 5x+5 = 14y
=>5x = 14y-5
=> x = (14y-5)/5 ----(4)
On Substituting the value of x in (2)
5x+8y = 6
=> 5[ (14y-5)/5]+8y = 6
=> (14y-5)+8y = 6
=> 14y+8y-5 = 6
=> 22y-5 = 6
=> 22y = 6+5
=> 22y = 11
=> y = 11/22
=> y = 1/2
On Substituting the value of y in (4)
x = (14y-5)/5
=> x = [(14×1/2)-5]/5
=> x = (7-5)/5
=>x = 2/5
Therefore, x = 2/5 and y = 1/2
Answer:-
The solution for the given problem is (2/5,1/2)
Check:-
Given equations are :
1.5x+2.4y=1.8---(1)
2.5(x+1)=7y------(2)
If x = 2/5 and y = 1/2 then LHS of (1)
=> 1.5(2/5)+2.4(1/2)
=> (3/5)+(2.4/2)
=>(3/5)+1.2
=> (3+6)/5
=> 9/5
=> 1 .8
=> RHS
LHS = RHS.
And LHS of (2)
2.5(x+1)
=> 2.5[(2/5)+1]
=> 2.5(2+5)/5
=> 2.5×7/5
=> 0.5×7
=> 3.5
RHS of (2)
7y
=>7×1/2
=>7/2
=> 3.5
LHS = RHS
Verified the given relations in the given problem
Used Method:-
- Method of Substitution
Step-by-step explanation:
The Questions and Answers of 1.5x + 2.4 y = 1.8, 2.5(x+1) = 7y have solutions asa)(0.5, 0.4)b)(0.4, 0.5)c)d)(2, 5)Correct answer is option 'B'.
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