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(a) Make y the subject of 3y - 2x = 5.
(b) Hence, find the value of y when x= -2.

User Jiexishede
by
8.5k points

2 Answers

4 votes

Answer:

a) 5/2

b) 1/3

Explanation:

a) 3y-2x=5 to find the value of y let we replace x by 0

then solve it

User Jgroenen
by
8.3k points
10 votes

Answer:

(a) y = 2/3x + 5/3

(b) y = 1/3

Explanation:

(a) Make y the subject of 3y - 2x = 5

3y - 2x = 5

+ 2x + 2x ==> isolate the variable y, by adding 2x to both sides

3y = 2x + 5 ==> divide both sides by three

/3 /3

y = 2/3x + 5/3 ==> y now becomes the subject, or our final answer

(b) Using 3y - 2x = 5 or y = 2/3x + 5/3, find the value of y when x= -2

y = 2/3x + 5/3

y = 2/3(-2) + 5/3 ==> substitute -2 for x

y = -4/3 + 5/3 ==> add the fractions

y = 1/3 ==> the value of y, our final answer

OR

3y - 2x = 5

3y - 2(-2) = 5 ==> substitute -2 for x

3y - (-4) = 5

3y + 4 = 5 ==> --4 makes a +4, the subtract 4 (-4) from both sides

- 4 - 4

3y = 1 ==> divide both sides by 3

/3 /3

y = 1/3 ==> your final answer

Hope this helps!

User DinDin
by
7.4k points

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