Solve each pair of equations:
1) 5x + 2y = 11 and x + y = 4
2) 2p + 5q = 15 and 6p + 15q = -29
3) 3a + b = 4 and 6a + 2b = 8
Show Work Please. Thank You
2007-02-05 12:52:47 · 11 answers · asked by Anonymous in Education & Reference ➔ Homework Help
What are you talking about Italian? I'm NOT cheating thru school. I just need a little help with these problems
2007-02-05 13:03:34 · update #1
Lol...I was thinking about helping, until (s)he said "show work please." Well, I'll still help: use either combination or substitution (i.e., either 1] add the two sides of the two equations together, or 2] solve one equation for one variable, and substitute that into the other equation).
2007-02-05 12:58:11 · answer #1 · answered by Qwyrx 6 · 1⤊ 0⤋
1)
multiply x+1=4 by 2 and subtract from the other equation
5x+2y=11
-(2x+2y=8)
3x=3
x=1
substitute.
1+y=4
y=3
to check it substitute back in.
2)
multiply 2p+5q=15 times 3
you get: 6p+15q=45
??? but.6p+15q=-29
no solution.
3)a=1 and b=1
3a+b=4 times 2 = 6a+2b=8
therefore a and b must be one
substitute to check..
3(1)+1=4 check.
6+1=8. check.
2007-02-05 20:54:55 · answer #2 · answered by desirooo58 3 · 0⤊ 1⤋
1) 5x + 2y = 11 and x + y = 4
Take the 2nd expression: x = 4 - y
Then: 5(4 - y) + 2y =11
> 20 - 5y + 2y = 11
> - 5y + 2y = 11 - 20
> -3y = - 9
> y = 3!!!!!!!
if x = 4 - y
Then x = 4 - 3 = 1!!!!!
Now you can aply the same simple reasoning to solve the others!
You can do it!
Good luck!
2007-02-05 21:01:41 · answer #3 · answered by OOHAY 2 · 1⤊ 0⤋
1. x = 1 and y = 3
3. a = 1 and b = 1
You have the problems and the solutions for two of the problems. Figure out how to get there by reading your algebra book. Once you do that, problem 2 will be easy.
2007-02-05 20:59:42 · answer #4 · answered by MiddleAgeVet 4 · 0⤊ 0⤋
In all of these equation pairs, you must find one variable in terms of the other. Let us find x in terms of y.
1) x + y = 4
can be written as
x = 4 - y
Therefore you can replace the first equation's x with 4 - y, getting...
5(4-y) + 2y = 11
Simplify...
20-5y + 2y = 11
-3y = -9
y = 3
Then, plug it back in to find x.
x + 3 = 4
x = 1
Now, do the rest yourself!
2007-02-05 20:57:02 · answer #5 · answered by Anonymous · 1⤊ 1⤋
5(1)+2(3)=11 and 1+3=4
x=1 and y=3
don't know 2nd
3(1)+1=4 and 6(1)+2(1)=8
a=1and b=1
2007-02-05 21:21:35 · answer #6 · answered by wpshialer 1 · 0⤊ 0⤋
1) x=4-y
5(4-y)+2y=11
20-5y+2y=11
20-3y=11
-3y=11-20
-3y=-9
y=-9/-3
y=3
2007-02-05 21:00:13 · answer #7 · answered by tonysae 2 · 1⤊ 0⤋
yea, 'cmon this is called homework help not cheat your way thru school
2007-02-05 21:00:03 · answer #8 · answered by italianstallion323 3 · 0⤊ 0⤋
Thats cheating. I mean, its like beating a kid up to give you his lunch money, and then going, 'No ones please, Thank you.'
I hope all your teachers find out.
2007-02-05 20:56:33 · answer #9 · answered by ♥Heather♥ 6 · 1⤊ 0⤋
what do x and y =?
2007-02-05 20:56:15 · answer #10 · answered by homesick at space camp 2 · 0⤊ 0⤋