SOLUTION: Solve the system of equations given by {x+2y=4, 3x-y=5} by the addition method, check your answer by the substitution method and graph the solution set if possible. also am

Question 431843: Solve the system of equations given by {x+2y=4, 3x-y=5} by the addition method, check your
answer by the substitution method and graph the solution set if possible.
also am having problem with,
Find the equation of the line that passes through the points (-3, 2) and (3,6)
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
x+2y=4 .............1
3x-y=5 .............2
Eliminate y
multiply (1)by 1
Multiply (2) by 2
x+2y=4
6x-2y=10
Add the two equations
7x= 14
/7
x=2
plug value of x in (1)
x+2y=4
2+2y=4
2y=4-2
2y=2
y=1

SUBSTITUTION METHOD
x+2y=4 .............1
y=-5 +3x ---------2
Plug the value of y in (1)
x+2(-5+3x)=4
x-10+6x=4
x+6x=4+ 10
7x=14
/7
x=2
Plug the value of x in (1)
x+2y=4
1*2+2y=4
2+2y=4
2y=2
/2
y=1
.......................

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