SOLUTION: solve this problem using elimination substitution and graphing 1)p+3q=16 p+q=6

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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