@iGreen
solve using substitution please
2x+5y=2
-3x-y=-3
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OpenStudy (welshfella):
from second equation find y in terms of x
then replace the y in the first equation with this expression in x
sole for x
OpenStudy (anonymous):
nevermind sorry I meant this equation
OpenStudy (welshfella):
* solve
OpenStudy (anonymous):
2x-3y=4
x=-4y-9
OpenStudy (welshfella):
ok
the easiest way is to replace the x in first equation by -4y-9:-
2(-4y-9) - 3y = 4
now solve this for y
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OpenStudy (welshfella):
can you do that?
OpenStudy (anonymous):
-8y-18 what do I do with the -3y=4?
OpenStudy (welshfella):
-8y - 18 - 3y = 4
add like terms
-11y - 18 = 4
add 18 to both sides
-11y = 22
divide both sides by -11
y = -2
OpenStudy (welshfella):
now to find the value of x you substitute y = -2 into the first equation and solve for x
OpenStudy (anonymous):
I got -1? is that right?
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OpenStudy (welshfella):
2x - 3(-2) = 4
2x = + 6 = 4
2x = -2
x = -1
yes
OpenStudy (welshfella):
* 2x + 6 = 4
OpenStudy (welshfella):
good work
OpenStudy (anonymous):
thanks please stay I need more help.
OpenStudy (welshfella):
ok
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OpenStudy (welshfella):
but i have to go in 10 minutes
OpenStudy (anonymous):
sorry computer froze
x+y=15
4x+3y=38
OpenStudy (welshfella):
do you want to solve this by substitution also?
OpenStudy (anonymous):
yes
OpenStudy (welshfella):
x + y = 15
subtract x from both sides
y = 15 - x
now plug this into the second equation:-
4x + 3(15 - x) = 38
4x + 45 - 3x = 38 (4x - 3x = x so:-
x + 45 = 38
now subtract 45 form both sides to get value of x
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OpenStudy (welshfella):
then plug this value of x into the equation x = y = 15 to get value of y
OpenStudy (welshfella):
* x + y = 15
OpenStudy (anonymous):
x=7?
OpenStudy (welshfella):
38 - 45 = -7
OpenStudy (welshfella):
x + 45 = 38
x + 45 - 45 = 38 - 45
x = -7
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OpenStudy (anonymous):
okay got that so plug -7 into x+y=15?
OpenStudy (welshfella):
yes
OpenStudy (welshfella):
-7 + y = 15
OpenStudy (welshfella):
gotta go in a few minutes
OpenStudy (anonymous):
okay thanks so much is the answer 22 though?
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