SOLUTION: I've been working on the equation: 2x-3y=24 2x+y=8. I find x when i do the equation my way, and the way i've been shown on this site, but i end up with -5y=16, and i get stucc

Algebra.Com
Question 58048: I've been working on the equation: 2x-3y=24 2x+y=8. I find x when i do the equation my way, and the way i've been shown on this site, but i end up with -5y=16, and i get stucc there.
Answer by rcmcc(152)   (Show Source): You can put this solution on YOUR website!
2x-3y=24
2x+y=8
to solve this question you must opperate the substitution method the second eqation is easier to simplify and isolate y.
2x+y=8
subtract 2x to isolate y
y=8-2x
now substitute in (8-2x) for y in the first equation
2x-3(8-2x)=24
you have to expand the -3 into the brackets so you get the equation
2x-24+6x=24
add 24 to each side and simplify the equation
8x=48
divide both sides by 8 to isolate x
x=6
to find y substitute 6 in for x to any of the above 2 equations, i recomend the second one as it is easier
2x+y=8
2(6)+y=8
12+y=8
subtract 12 from each side
y=-4
so in this equation you should have calculated that x=6 and y=(-4)



RELATED QUESTIONS

I've been working on this for hours, but keep taking the wrong path. I need to solve the... (answered by ikleyn,MathLover1,MathTherapy,math_tutor2020)
How do I solve this? I have tried multiple times, and it says it would've been correct... (answered by josgarithmetic,ikleyn)
Hi! I´ve been struggling on this function for 3 days! f(x)=|-2x-2|-|2x-1| How... (answered by stanbon)
How do I find the perimeter of a rectangle that's in a circle when all I know is the... (answered by ikleyn,greenestamps)
If angle ABC is 39 degrees and angle CBD is 114 degrees, then what is angle ABD? I’ve (answered by Alan3354)
Give the center of the circle with equation x^2+2x+y^2+22=0 I’ve come up with the answer (answered by psbhowmick,chitra)
Hi I am stuck on this one which has me completely bamboozled. Your assistance would be... (answered by solver91311,stanbon)
Greetings mathematic overlords, My conundrum is as follows, I have this equation I am... (answered by scott8148)
I am studing the substitution Method.. and for some reason i can not seem to figure out... (answered by xcentaur)