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Answer as many as you'd like please (include work).

 

Find the solution:

 

2y-x=3

y=2x-6

 

-x+y=4

-2x-y=2

 

x-2y=2

3x+4y=3

 

Thanks :D

Best Answer 

 #1
avatar+27 
+5

1. substitute y with 2x-6 so the equation is 2(2x-6)-x=3. distribute 4x-12-x=3. combined like terms 3x-12=3. move the -12 to the other side 3x=15. divide x=5. plug x into any equation y=2(5)-6. distribute y=10-6. solve y=4 answer is (5,4)

 

2.   (-x+y=4)

    +(-2-y=2)

         -3x=6

divide x=-2. plug x into any equation -(-2)+y=4. distribute 2+y=4. move 2 over and solve y=2 answer is (-2,2)

 

3. (x-2y=2)*2----->      (2x-4y=4)

 (3x+4y=3)*1----->    +(3x+4y=3)

                                         5x=7

Divide x=7/5=1 2/5=1.4. plug x into anyequation 3(1.4)+4y=3. distribute 4.2+4y=3. move 4.2 over 4y=-1.2 solve y=-0.3

 Jan 6, 2017
 #1
avatar+27 
+5
Best Answer

1. substitute y with 2x-6 so the equation is 2(2x-6)-x=3. distribute 4x-12-x=3. combined like terms 3x-12=3. move the -12 to the other side 3x=15. divide x=5. plug x into any equation y=2(5)-6. distribute y=10-6. solve y=4 answer is (5,4)

 

2.   (-x+y=4)

    +(-2-y=2)

         -3x=6

divide x=-2. plug x into any equation -(-2)+y=4. distribute 2+y=4. move 2 over and solve y=2 answer is (-2,2)

 

3. (x-2y=2)*2----->      (2x-4y=4)

 (3x+4y=3)*1----->    +(3x+4y=3)

                                         5x=7

Divide x=7/5=1 2/5=1.4. plug x into anyequation 3(1.4)+4y=3. distribute 4.2+4y=3. move 4.2 over 4y=-1.2 solve y=-0.3

DiamondDragon43 Jan 6, 2017
 #2
avatar+92 
0

Could I trouble you with one more question?

 

2x-2y=2

y=-5x+14

 #3
avatar+259 
+5

2x-2y=2

y=-5x+14.      I*2

 

2x-2y=2

2y=-10x+28.   I +10x

 

2x-2y=2.        I*5

10x+2y=28.    

 

10x-10y=10

10x+2y=28

 

-12y=-18.   I /-12

 

y= 1.5

amnesia  Jan 6, 2017

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