pls help
f x = 33 is solution of the equations 2x – y = 54, then find the
value of y
3 Sahil’ s age is 3 years more than half of the Salman’ s age. Frame the
equation.
4 3x + 5y = 9 and 5x + 3y = 7 . Find the value of x + y
5 Write any 4 linear equations in two variables using x and y
Q.2. Solve the following
1. Solve by equating co-efficient x+ y = 4 ; 2x– 5y = 1
2. The sum of the ages of Priyanka and Deepika is 34 years. Priyanka is
elder to Deepika by 6 years. Then find their presentage.
3. Solve by equating coefficient 2y – x = 0 ; 10x+ 15y = 105
find answers of these please request hai guys
Answers
Answer:
Here, Q)=In this question, value of y is 11.
Q3.)Here, The equation formed is x-2y=3.
Q4.)=Here, The value of x+y is 2.
Q5.)=Equations are in explanation.
Q2.)=Solve the following:
Q1.)=Here, Thavalue of x is 3 and y is 1.
Q2.)=Here, The age of Priyanka is 20 years and Deepika is of 14 years.
Q3.)=Here, The value of x is 6 and y is 3.
Step-by-step explanation:
Q)=Here, As per our given question,
=p(x)=2x-y=54
And x=33 is a solution of it,
So, by putting value of x in the equation, we get,
=2×(33)-y=54
=66-y=54
=(-y)=54-66
=(-y)=(-11)
=y=11 (As both sides are equal and have same sign of -)
Q3.)=Here, As given in question,
Let the age of Sahil be x
Let the age of Salman be y
Now, Equation=1/2x=3+y
=x=3+2y
=x-2y=3 (Answer).
Q4.)=Here, As per our given question,
=3x+5y=9 -(1st)eq.
=5x+3y=7 -(2nd)eq.
On solving both equations by elimination method, we have to multiply with 3 in eq1 and with 5 in eq. 2,and then subtract 2nd eq. from 1st eq., we get,
= 9x +15y= 27
=-25x-15=-35
After soving, we get,
=9x-25x=27-35
=(-16x)=(-8)
=16x=8
=x=8/16
=x=1/2
Now, by putting the value of x in eq. 1,we get,
=3×(1/2)+5y=9
=3/2+5y=9
=5y=9-3/2
=5y=(18-3)/2 (After taking Lcm and solving it)
=5y=15/2
=y=15/2/5
=y=3/2
Now, As asked in question,
=x+y=
=1/2+3/2
=(1+3)/2 (As denominators are same)
=4/2
=2
So, x+y =2 (Answer).
Q5.)=Four linear equations are,
=15x+22y=37 -(1)
=14x-13y=23 -(2)
=2x+y=0 -(3)
=x+y=45 -(4)
Q2.)=Solve the following:
Q1.)=Here, As per our given question,
=x+y=4 -(1st)eq.
=2x-5y=1 -(2nd)eq.
Now, As on solving both equations by elimination method, we have to multiply with 5y in eq. 1 and with 1 in eq. 2 and then add both equations,
=5x+5y=20
=2x-5y=1
After solving, we get,
=5x+2x=20+1
=7x=21
=x=21/7
=x=3
By putting the value of x in eq. 1,we get,
=3+y=4
=y=4-3
=y=1 (Answer).
Q2.Here, As in this question,
Let the age of Priyanka be x
Let the age of Deepika be y
Now, x+y=34 -(1st)eq.
Now, x-y=6 -(2nd)eq.
Now, As solving both equations by elimination method, we will add both equations,
=x+y=34
=x-y=6
After solving, we get,
=x+x=34+6
=2x=40
=x=40/2
=x=20
Now, by putting the value of x in eq. 1,we get,
=20+y=34
=y=34-20
=y=14
Hence, Present age of Priyanka is 20 years and of Deepika is 14years.
Q3.)=Here, As given in question,
=2y-x=0
=(-x)+2y=0 -(1st)eq. [Standard form]
Now, 10x+15y=105
=2x+3y=21 -(2nd)eq. (As all numbers are divisible by 5)
Now, On solving both equations by elimination method, we will multiply with 2 in eq. 1 and with 1 in eq. 2 and the add both of them,
=(-2x)+4y=0
=(+2x)+3y=21
After solving it, we get,
=4y+3y=0+21
=7y=21
=y=21/7
=y=3
Now, by putting the value of y in eq. 1,we get,
=(-x)+2×(3)=0
=(-x)=(-6)
=x=6 (As both sides are equal and have same sign of -)
So, The value of x is 6 and y=3 in the given question.
Thank you.