IN this multi step equation I cannot figure it out, because the variables are on the outside for some reason.
5y-10=14-3y
2006-10-15 04:48:17 · 11 answers · asked by Captain705 1 in Science & Mathematics ➔ Mathematics
move y to the left by adding 3y on both sides
5y+3y -10 = 14
8y -10 = 14
add 10 on both sides to cancell -10 on left
8y = 14+10 = 24
divide by 8 on both sides
y = 24/8 = 3
2006-10-15 04:51:25 · answer #1 · answered by Mein Hoon Na 7 · 0⤊ 0⤋
Bring the terms with the y letters to one side and the constants (the numbers without a letter) to the other side of the equation. Keep in mind that when crossing the equal sign, signs change to their opposites.
LOOK:
5y-10=14-3y
I will bring -3y to the left side, which then becomes +3y.
I will then bring -10 over to the right side and make it +10.
5y + 3y = 14 + 10
Next: Simplify each side.
On the left side we get: 8y
On the right side we get: 24
We now have this:
8y = 24
Next: Divide each side by the coefficient, which in this sample happens to be 8. See it? A coefficient is a number that stands next to a letter in algebra. Got it?
I will divide BOTH sides of the equation by 8.
My final answer is: y = 3.
Guido
2006-10-15 04:57:03 · answer #2 · answered by Anonymous · 0⤊ 0⤋
5y - 10 = 14 - 3y
5 y - 10 + 3y = 14 - 3y + 3y
Adding + 3 to both sides of the equation
8y - 10 = 14
8y - 10 + 10 = 14 + 10
Adding + 10 to both sides of the equation
8y = 24
8y/8 = 24/8
Dividing 8 on both sides of the equation
y = 3
The answer is y = 3
The solution set { 3 }
inser the y value into the equation
- - - - - - - - - - - - - - - - - - - - - - - - - - - - -
5y - 10 = 14 - 3y
5(3) - 10 = 14 - 3(3)
15 - 10 = 14 - 9
5 = 5
- - - - - - - - - -s
2006-10-15 05:31:05 · answer #3 · answered by SAMUEL D 7 · 0⤊ 0⤋
add 3y to both sides
5y - 10 + 3y = 14 - 3y + 3y
8y - 10 = 14
add 10 to both sides
8y - 10 + 10 = 14 + 10
8y = 24
Divide both sides by 8
y = 3.
2006-10-15 04:54:59 · answer #4 · answered by tutoronline 1 · 0⤊ 0⤋
get all the y's on the left, the rest on the right and simplify:
5y+3y = 14+10 : add 3y + 10 to both sides
8y = 24
y = 3
2006-10-15 04:53:24 · answer #5 · answered by schvan 2 · 0⤊ 0⤋
y=3
5y-10=14-3y
+3y +3y
8y-10=14
+10 +10
8y/8=24/8
y=3
2006-10-15 04:52:37 · answer #6 · answered by jeff 2 · 0⤊ 0⤋
You want to get the variable by itself, so when there are two of them, get rid of one by adding its opposite to both sides. Let's add 3y to each side of the equation. That will give you
8y - 10 = 14. Then add 10 to both sides.
8y = 24
y = 3
2006-10-15 04:54:29 · answer #7 · answered by PatsyBee 4 · 0⤊ 0⤋
a million 17 = 3(g + 3) - g 17 = 3g + 9 - g 17 = 2g + 9 2g + 9 = 17 2g = 17 - 9 2g = 8 g = 4 2 2(2.5b-9) + 6b = -7 5b - 18 + 6b = -7 11b - 18 = -7 11b + 7 = 18 11b = 18 - 7 11b = 11 b = a million
2016-11-23 12:56:20 · answer #8 · answered by crego 3 · 0⤊ 0⤋
Add ten to both sides, add 3y to both sides-
8y=24, divide by 8
y=3
2006-10-15 04:58:36 · answer #9 · answered by s 3 · 0⤊ 0⤋
y = 3
(5y-10=14-3y ----- 8y-10=14-------8y=24-------y=3-------=)
2006-10-15 04:50:25 · answer #10 · answered by Anonymous · 0⤊ 0⤋