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systems of equations, i need the answer to this problem.

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y=2x
6x+y=16
Use the first equation to substitute for y in the second equation.
6x+_=16
Solve the resulting equation for x.
____________________________
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____________________________

Substitute the x-value to get the corresponding y-value.
y=2x
y=2(__)=__
Check both values in each of the original equations.
y=2x
__=?2(__)
__________

6x+y=16
6(__)+__=?16
__________=?16

____________
So, the ordered pair _____________ is the solution of the system.
 Jun 1, 2012

2+0 Answers

 #1
avatar+42 
0
y=2x
6x+y=16
Use the first equation to substitute for y in the second equation.
6x+_=16
Solve the resulting equation for x.
y=2x
6x+y=16

y=2x
6x+2x=16 ==> x=2

Substitute the x-value to get the corresponding y-value.
y=2x
y=2(2)=4
Check both values in each of the original equations.
y=2x
4=?2(4)
equal

6x+y=16
6(2)+4=?16
16=?16
equal
____________
So, the ordered pair (2,4) is the solution of the system.
 Jun 1, 2012
 #2
avatar+3146 
0
[input]solve( y=2x, 6x+y=16 )[/input]
 Jun 1, 2012

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