y=5x-3 -x-5y=-11
how
Answers
Answer:
Let the equation
5x− 3y= 11 ----- (i)
10x+ 6y= −22 ----- (ii)
From (i)
y=
3
5x−11
put the value of y in (ii)
10x+ 6(
3
5x−11
)= −22
30x+ 30x− 66= −66
x= 0
put
x=
0
in (i), we get
0− 3y= 11
y=−
3
11
Step-by-step explanation:
Hi.....
Hope it helps you.....
Step-by-step explanation:
Question -
Solve the following pair of linear equations by substitution method -
y = 5x-3 and - 5y= - 11
Solution -
Given equations,
y = 5x-3........1)
and,
-5y = - 11........2)
Now,substituting the value of y in equation 2) we will get -
=> - 5(5x-3) = - 11
=> - 25x +15= - 11
=> - 25x = - 11-15
=> - 25x = - 26
=> x= \frac{-26}{-25} x=
−25
−26
=> x = \frac {26}{25}x=
25
26
Now substituting the value of x in equation 1)we will get -
\implies \: y = 5 \times \frac{26}{25} - 3⟹y=5×
25
26
−3
⟹y = \frac{26}{5} - 3⟹y=
5
26
−3
⟹y = \frac{26 - 15}{5} ⟹y=
5
26−15
⟹y = \fraction{11}{5} ⟹y=
5
11
Therefore the value of x is\:\fraction {26}{25} \:\:and\:\: y\: is \:\fraction {11}{5}Thereforethevalueofxis
25
26