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solve each system of equation below by the substitution method. plZ also tell me how to do it

2007-02-06 15:15:01 · 6 answers · asked by Angel eyeZ 1 in Education & Reference Homework Help

6 answers

this is very simple:

if Y=2x, and x+Y=12, THEN:

x+2x=12: then u combine like terms

3x=12: next u solve by dividing by 3 on each side

x=4: now plug it into the equation x+y+12

4+y=12: substract 4 from both sides

y=8: ur answers are x=4 and y=8

i hope i helped. and i hope i wasn't confusing at all.

2007-02-06 15:22:41 · answer #1 · answered by ♥IslamForever♥ 5 · 0 0

Your answers would be y=8 and x=4. You arrive at these by:

1) Since y=2x substitute 2x into the function x+y=12 for y. You get:
x+2x=12
3x=12 (You get 3x by adding x and 2x)
x=4 (You get 4 by dividing both sides by 3)

2) You have x=4 now, so to get the answer to y=2x substitute 4 into the function for x:
y=2*4
y=8 (You get this by multiplying 2 and 4)

2007-02-10 15:22:23 · answer #2 · answered by someadvice 3 · 0 0

y = 2x
x + y = 12
now substitute 2x for y in the 2nd problem and you get x + 2x = 12

add the x's together. you get 3x =12. now divide each side by 3 to isolate x on one side. 3/3 = 1 and 12/3 = 4, so the answer is x =4. Now to check you subsitute 4 into both problems. y = 2(4), so y = 8. x + y + 12. 4 + 8 = 12 or 12=12 It checks.

2007-02-06 15:21:07 · answer #3 · answered by caring_funlovingteacher 4 · 0 0

firstly u must make given equation as a (1) & (2);

(1)..........y=2x
(2)..........x+y=12

substitute value of y into equation (2);
x+y=12
x + (2x) = 12
3x = 12
so;
x = 12/3
x = 4.........ans.

replace value of x = 4 into equation (1)
y = 2x
y= 2(4)
so
y = 8....................ans.


check;
substitute value of y = 8 & x = 4 into equation (2)
x+y=12
(4) + (8) = 12
12 = 12.....ans

both side is same , so this value is right.....

good luck.....

2007-02-06 15:32:23 · answer #4 · answered by Sir Jas 2 · 1 0

y=2x plug this in for y in x+y=12
you get: x+2X=12
3x=12
x=4 plug this into y=2x
y=2(4)
y=8 and x =4

2007-02-06 15:22:13 · answer #5 · answered by abchawaiixyz 1 · 0 0

2x/x=x
when you do something on one side you have to do to the other so
y/x
2=x
y/2
y/2times 2
y=8
y=8 x=4
8=2times4
8+4=12

2007-02-06 15:22:44 · answer #6 · answered by magicgeniebottle 1 · 0 0

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