Question 923081: solve this problem using elimination substitution and graphing
1)p+3q=16
p+q=6
Answer by MathLover1(20850) (Show Source):
You can put this solution on YOUR website! Elimination/Addition
.......eq.1
.........eq.2
____________subtract 2 from 1
go to .........eq.2, plug in for
by SUBSTITUTION
.......eq.1
.........eq.2
____________
.......eq.1..solve for
...substitute in 2
.........eq.2..solve for
...both sides multiply by
....substitute in eq.1
.......eq.1
by Graphing
In order to graph these equations, we need to solve for q for each equation.
.......eq.1
.........eq.2
____________
.......eq.1
.........eq.2
____________
.......eq.1
.........eq.2
____________
now find two points that lie on each line
.......eq.1...set
...solve for
...if denominator same, numerator must be same too
point is ( , )=> x(or p)-intercept
.......eq.1...set
...solve for
point is ( , )=> y(or q)-intercept
.........eq.2
.......eq.2...set
...solve for
point is ( , )=> x(or p)-intercept
.......eq.2...set
...solve for
point is ( , )=> y(or q)-intercept
plot points ( , ) and ( , ) and draw a line
plot points ( , ) and ( , )and draw a line
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