SOLUTION: What is the solution for the following system of equations? Use ANY method to solve. y = -x +4 y = x - 2

Algebra.Com
Question 1135147: What is the solution for the following system of equations? Use ANY method to solve.
y = -x +4
y = x - 2
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

......eq.1
........eq.2
---------------------------------add



go to ......eq.1, substitute
......solve for



so, intersection point is (,)




Answer by ikleyn(52887)   (Show Source): You can put this solution on YOUR website!
.
y = -x + 4   (1)

y = x - 2    (2)


Add equations (1) and (2).  The terms "-x" and "x" will cansel each other, and you will get


2y = 4 - 2 = 2    -  hence,  y = 1.


Then from eq(2)  x = y + 2 = 1 + 2 = 3.


ANSWER.  x= 3, y= 1.

Solved.


RELATED QUESTIONS

Use the Substitution method to solve the system of equations. x + y = -4 x - y = 2 (answered by checkley77)
Use the Substitution method to solve the system of equations. x + y = -4 x - y =... (answered by Fombitz)
Use a graph to solve the following system of equations, "by the method of graphing:"... (answered by ewatrrr)
Use the Gauss-Jordan method to solve the system of equations. x-y=2 y-z=0 x+z=6... (answered by jim_thompson5910)
Use the substitution method to solve the following system of linear equations: x + y... (answered by stanbon)
Find the ordered pair solution to the following system of equations (Use any method):... (answered by solver91311)
Solve the following system of equations by any method you wish X + y = 5 X + 2z = 6 Y... (answered by ankor@dixie-net.com)
1. What is a correct graph for the following equations y>i/2x-2 2. correct graph to... (answered by ikleyn)
Use the comparison method to solve the following system of equations. (1) 2x - y = 5... (answered by josgarithmetic)