A few days ago
jusjay30

solve the following system of equations: x + y = 6, and y = 2x?

solve the following system of equations: x + y = 6, and y = 2x?

Top 8 Answers
A few days ago
Anonymous

Favorite Answer

um… put 2x in the first equation wherever there is a Y…

x + 2x = 6

Now solve for X. Once you have X, you can solve for Y.

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A few days ago
Jen
if y=2x,

x+ y =6 can also written as:

x+ 2x = 6

then gather up the Xs

3x= 6

x= 6/3

x= 2

Proof if x =2:

y= 2x

y = 2(2)

y = 4

if y =4 and x = 2

x + y = 6

2+ 4 is equal to 6

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A few days ago
Lilac Green
x is 2
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A few days ago
Jules
You have to combine the equations by substitution.

x + y = 6

y = 2x

You know that y is equal to 2x so substitute 2x for y in the first equation.

x + 2x = 6

Then combine like terms

3x = 6

Now get x by itself by dividing 6 by 3

x = 2

Ok now you know x = 2, so substitute 2 for x in the first equation ( you could substitute it into either equation, I just chose the first one)

2 + y = 6

now get y by itself by subtracting 2 from 6

y = 4

here are your answers:

x = 2 and y = 4

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A few days ago
sarah
substitute y = 2x into y in the other equation

x + (2x) = 6

add like terms

3x=6

get x by itself by dividing both sides by 3

x = 2

then put the answer for x back into one of the 2 equations.

y = (2)2 =4

or 2 + y =6 subtracting 2 from both sides to get y by itself

y = 4

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A few days ago
bhavishyathi
x + y = 6 — (1)

y = 2x — (2)

Substitute (2) into (1)

x + 2x = 6

3x = 6

x = 6 / 3

x = 2 — (3)

Substitute (3) into (2)

y = 2x

y = 2 (2)

y = 4

So, x = 2 & y = 4

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A few days ago
Anonymous
x+y=6 therefore y=6-x

substitute the y in the second equation for y=6-x

6-x=2x

3x=6

x=2

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A few days ago
embroidery fan
Substitute 2x for the y in the first equation.

x + 2x+6

3x=6

x=2

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