Question 538627: i need help to solve the equation
y+2x=11
x+y=5
using the substitution method
Answer by Mathpassionate(25)   (Show Source):
You can put this solution on YOUR website! i need help to solve the equation
y+2x=11
x+y=5
using the substitution method
Let's call y+2x=11 Equation 1
Let's call x+y=5 Equation 2
Let's find the value of "y" from the Equation 1
y+2x=11
y =11-2x
y =11-2x This is Equation 3
Now, let's substitute Equation 3 (y =11-2x) into the Equation 2 (x+y=5)
x+y=5
x+(11-2x)=5
x+11-2x=5
x-2x=5-11
-1x=-6
x= (-6)/(-1)
x= 6/1 (two negative signs make the fraction positive)
x= 6
Now, let's substitute this value (x =6) into the Equation 3 (y =11-2x)
y =11-2x
y =11-2*6
y =11-12
y = -1
So, the answers are:
x= 6
y = -1
Any questions, please feel free to ask me.
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