SOLUTION: Solve 2x + 5y= 16 y= x - 1 Using Substitution, Then verify your solution graphically.

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Solve 2x + 5y= 16 y= x - 1 Using Substitution, Then verify your solution graphically.       Log On


   



Question 659815: Solve 2x + 5y= 16
y= x - 1
Using Substitution, Then verify your solution graphically.

Found 2 solutions by lynnlo, MathLover1:
Answer by lynnlo(4176) About Me  (Show Source):
You can put this solution on YOUR website!
x=3,y=2
you should be able to graph this

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

+2x+%2B+5y=+16+......1
y=+x+-+1............2
____________________________________

+2x+%2B+5y=+16+......1...substitute y from 2

+2x+%2B+5%28x+-+1%29=+16+....solve for x

+2x+%2B+5x+-+5=+16+
+7x=+16%2B5+
+7x=+21+
+x=+21%2F7+
highlight%28+x=+3%29
now find y
y=+x+-+1............2
y=+3+-+1
highlight%28y=+2%29

check:
+2x+%2B+5y=+16+......1
+2%2A3+%2B+5%2A2=+16+
+6+%2B+10=+16+
+16=+16+.........which verifies our solution

y=+x+-+1............2
2=+3+-+1
2=+2........which verifies our solution