Answer:
Explanation:
1.) x + 2y = 4
2y = -x + 4
(divide both by 2)
2y/2 = -x + 4/2
y = -1/2x - 2 (m = -1/2 , b = -2)
2.) 3x - y = 2
-y = -3x + 2
(divide both by (-) sign)
y = 3x - 2 (m = 3 , b = -2)
3.) -3x + 3y - 1 = 0
3y = 3x + 1 + 0
3y = 3x + 1
(divide both by 3)
3y/3 = 3x + 1/3
y = 1/2x + 1/3 (m = 1/2 , b = 1/3)
4.) 5x - 7y = 2
7y = -5x + 2
(divide both by 7)
7y/7 = -5x + 2/7
y = -5/7x + 2/7 (m = -5/7 , b = 2/7)
5.) 3x + 1/2y = 4
1/2y = -3x + 4
(divide both by 1/2)
1/2y / 1/2 = -3x + 4 / 1/2
"since we are dividing fraction, we can flip its reciprocal. So instead of 1/2, it will become 2/1. Then we multiply"
Therefore:
y = -3x*2/1 + 4*2/1
y = -3x*2 + 4*2
y = -6x + 8 (m = -6 , b = 8)
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Answers & Comments
Answer:
Explanation:
1.) x + 2y = 4
2y = -x + 4
(divide both by 2)
2y/2 = -x + 4/2
y = -1/2x - 2 (m = -1/2 , b = -2)
2.) 3x - y = 2
-y = -3x + 2
(divide both by (-) sign)
y = 3x - 2 (m = 3 , b = -2)
3.) -3x + 3y - 1 = 0
3y = 3x + 1 + 0
3y = 3x + 1
(divide both by 3)
3y/3 = 3x + 1/3
y = 1/2x + 1/3 (m = 1/2 , b = 1/3)
4.) 5x - 7y = 2
7y = -5x + 2
(divide both by 7)
7y/7 = -5x + 2/7
y = -5/7x + 2/7 (m = -5/7 , b = 2/7)
5.) 3x + 1/2y = 4
1/2y = -3x + 4
(divide both by 1/2)
1/2y / 1/2 = -3x + 4 / 1/2
"since we are dividing fraction, we can flip its reciprocal. So instead of 1/2, it will become 2/1. Then we multiply"
Therefore:
y = -3x*2/1 + 4*2/1
y = -3x*2 + 4*2
Answer:
y = -6x + 8 (m = -6 , b = 8)