Yahoo Answers: Answers and Comments for Determine whether the given ordered pair is a solution of the system of equations? 10 points? [Mathematics]
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From n596
enUS
Mon, 07 Feb 2011 12:47:03 +0000
3
Yahoo Answers: Answers and Comments for Determine whether the given ordered pair is a solution of the system of equations? 10 points? [Mathematics]
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From cryptogramcorner: Just plug in the x and y values into both equa...
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Mon, 07 Feb 2011 12:58:44 +0000
Just plug in the x and y values into both equations and see if they work. They must
work in BOTH equations to be a solution.
(3,2) means x = 3, y = 2 to
2x + 3y = 12 becomes
2(3) + 3(2) = 12
6 + 6 = 12
12 = 12 so it works for the first one
x  4y = 5 becomes
3  4(2) = 5
3  8 = 5
5 = 5
and it works in the 2nd one as well.
So (3,2) is the solution for the system of equations
The other way to do this is to find the solution to the system of equations, and see if it turns
out to be (3,2). You will eventually need to know how to do this anyhow, so here goes.
Take the 2nd equation
x  4y = 5 and add 4y to both sides to make it
x = 4y  5 Now you can go to the first equation and "substitute" 4y 5 in place of x
2x + 3y = 12 becomes
2(4y5) + 3y = 12 or
8y  10 + 3y = 12 or
11y  10 = 12 add 10 to both sides to get
11y = 22 and divide both side by 11 to get
y = 2
since x = 4y  5 you can plug in y =2 to find x
x = 4(2)  5 = 8  5 = 3
so x = 3, y = 2 is the solution
This is just one of the ways to solve a system of equations, you'll end up learning another
methods call "elimination" as well.

From techswimmer: Well 2 lines can only meet at one point so sol...
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Mon, 07 Feb 2011 12:53:38 +0000
Well 2 lines can only meet at one point so solve the two equations
2x+3y = 12
2(x4y) = 5
2x+3y = 12
2x+8y = 10

11y = 22
y= 2
plug y back into any of the two equatons
2x+3(2)=12
2x=6
x=3
(3,2) is where the two lines intersect so it is a solution

From Anonymous: Yes they both are.
Make 2x+3y=12 2*3+3*2=12. ...
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Mon, 07 Feb 2011 12:51:58 +0000
Yes they both are.
Make 2x+3y=12 2*3+3*2=12. Simplify that into 6+6= 12.
Make x4y=5 into 34*2=5.4*2 =8 and 38=5.... this is 8th grade math...

From JOS J: {x= 3, y= 2}
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Mon, 07 Feb 2011 12:51:02 +0000
{x= 3, y= 2}

From TheSicilianSage: 2x + 3y = 12 ... substitute (3,2) → [ 2(3) + 3...
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Mon, 07 Feb 2011 12:50:38 +0000
2x + 3y = 12 ... substitute (3,2) → [ 2(3) + 3(2) = 12 ] ... Okay
x  4y = 5 ...... substitute (3,2) → [ (3)  4(2) = 5 ] ... Okay

From Bob F: The easiest way is to plug them in
2(3) + 3(2...
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Mon, 07 Feb 2011 12:50:34 +0000
The easiest way is to plug them in
2(3) + 3(2) = 12, true
3  4(2) = 5, true
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