If x = a, y = b is the solution of the equations x + y = 50 and 4x + 5y = 225, then the values of a and b respectively.
Answers
Step-by-step explanation:
x=a. y=b on substituting
4a+5b=225 ----1
a+ b=50. ----2
×2 by 4
so
4a+5b=225
4a+4b=200
on solving we get
b=25
a=25
The given question is x = a, y = b is the solution of the equations x + y = 50 and 4x + 5y = 225,
we have to find the values of a and b respectively.
The given expression is x+y=50 and 4x+5y=225
Let's substitute the value of x= a and value of y=b.
we get the equations as
a+b=50--------1
4a+5b=225---------2
Let's subtract eqn 1 and 2 we get
multiply equation 1 by 4 we get
4a+4b=200
4a+5b=225
- - -
-----------------
0-b= -25
----------------
b=25.
lets substitute the value obtained for b in the equation 1,so that we get the value of a
a+(25) =50
a=50-25
a=25
Therefore , the value of a and b is a= 25,b=25
which includes x=25 and y=25.
By substituting a in equation 2 also we get
4a+5(25) =225
4a+125=225
4a=225-125
4a=100
a=100/4=25
Hence, the final answer is obtained from equation 2 also
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