Question

Solve using the addition method. What is the y-value of the solution to the system?

2x – 3y = -1
3x + 4y = 24

Answer 1

Do you mean elimination?

Answer 2

addition method

Answer 3

Anyways, Ill start it off. Addition method is another word for elimination method
Choose to eliminate the variable that is easier. I choose to eliminate x. To do that I have to mult. the top by (3) and thw bottom by -2
2x-3y=-1 (2)
3x+4y=24 (-2)
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6x-9y=-3
-6x-8y=-48 Add and eliminate the x
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-17y= -51
y= \[\frac{ -51 }{ -17 }=\frac{ 51 }{ 17 }\]

Answer 4

\[y=\frac{ 51}{ 17 }=3\]

Answer 5

Since we have found y which is 3. Plug y (3) into an orginal equation. So ill post it at the top.

2x-3(3)=-1
2x-9=-1
+9 +9
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2x=8= ?????

Answer 6

thank you soo much, u really helped me out on this one, thank you

Answer 7

No problem. :)