eeem5981 eeem5981
  • 12-02-2020
  • Mathematics
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Select the two values of x that are roots of 7x - 15 = -2x.

A. x=-5
B. x=5
C. x= -3/2
D. x=3/2


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zrh2sfo
zrh2sfo zrh2sfo
  • 12-02-2020

Answer:

x = 5/3

Step-by-step explanation:

Solve for x:

7 x - 15 = -2 x

Add 2 x to both sides:

7 x + 2 x - 15 = 2 x - 2 x

2 x - 2 x = 0:

7 x + 2 x - 15 = 0

7 x + 2 x = 9 x:

9 x - 15 = 0

Add 15 to both sides:

9 x + (15 - 15) = 15

15 - 15 = 0:

9 x = 15

Divide both sides of 9 x = 15 by 9:

(9 x)/9 = 15/9

9/9 = 1:

x = 15/9

The gcd of 15 and 9 is 3, so 15/9 = (3×5)/(3×3) = 3/3×5/3 = 5/3:

Answer: x = 5/3

Answer Link
maleyabrown02 maleyabrown02
  • 12-02-2020
7x-15=-2x
+7 +7
-15=5x
-15 divided by 5 gives yu
X=-3
Answer Link

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