SOLUTION: Graphing whew!? Question for you. Thanks for your assistance. 1. Is (-2,6) a solution to 7x+3y=4 AND 8x+7y=26? 2. Solve the system of equations by graphing. If the

Algebra ->  Graphs -> SOLUTION: Graphing whew!? Question for you. Thanks for your assistance. 1. Is (-2,6) a solution to 7x+3y=4 AND 8x+7y=26? 2. Solve the system of equations by graphing. If the      Log On


   

Question 23145: Graphing whew!? Question for you. Thanks for your assistance.
1. Is (-2,6) a solution to 7x+3y=4 AND 8x+7y=26?



2. Solve the system of equations by graphing. If the system is inconsistant or the equations are dependent, state that.
y=2x+1
y=-2x-3
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
1. Is (-2,6) a solution to 7x+3y=4 AND 8x+7y=26?
THAT IS WE HAVE TO CHECK IF BY PUTTING X AND Y THE GIVEN VALUES , THE EQUATION IS SATISFIED...MEANS ...L.H.S=R.H.S. OR NOT
X=-2...Y=6...IN 7X+3Y=4
L.H.S.=7X+3Y=7*-2+3*6=-14+18=4...R.H.S.=4..HENCE LHS=RHS...SO (-2,6) IS A SOLUTION OF EQN.7X+3Y=4
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X=-2...Y=6...IN 8X+7Y=26
L.H.S.=8*-2+7*6=-16+42=26......R.H.S=26....HENCE LHS=RHS...SO (-2,6) IS A SOLUTION OF EQN.8X+7Y=26
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2. Solve the system of equations by graphing. If the system is inconsistant or the equations are dependent, state that.
y=2x+1
y=-2x-3
TAKE DIFFERENT VALUES FOR X AND FIND CORRESPONDING VALUES OF Y AND TABULATE AS FOLLOWS AND GRAPH TO A SUITABLE SCALE......
X........0...........1............2..........-2............-3...........ETC...
Y=2X+1...1...........3............5...........-3...........-5.............
Y=-2X-3..-3..........-5...........-7...........1...........3..............
THE GRAPH WILL LOOK LIKE THIS ..
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+2x%2B1%2C-2x-3+%29+
WE FIND THE 2 GRAPHS ARE STRAIGHT LINES INTERSECTING AT X=-1 AND Y=-1...SO X=-1 AND Y=-1 IS THE SOLUTION SET FOR THSES 2 EQNS.