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skelet666 [1.2K]
2 years ago
7

Solve with steps 5^(x+3)=25^(x-2)

Mathematics
1 answer:
Taya2010 [7]2 years ago
6 0

5^(x+3)=25^(x-2)

Apply the exponent rule ( 5 ^2 = 25, so remove the 5 and replace 25?with 2)


x + 3 = 2(x-2)

Simplify:

X + 3 = 2x -4

Add 4 to both sides:

X + 7 = 2x

Subtract x from both sides

X = 7


Answer: x = 7

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Step-by-step explanation:

If two equations are given, we can solve one of the equation in terms of single variable and put it in the other equation which will further give the value of x and y.

For the given equations:

8x-5y=21              Equation:1

2x+9y=-5             Equation:2

Solving equation multiply equation 2 with 4 on both the sides

8x+36y=-20        Equation 3

Subtracting Equation:3 from Equation:1

8x-5y-(8x+36y)=21-(-20)\\8x-5y-8x-36y=21+20\\-41y=41\\y=-1

Putting value of 'y' in Equation:2 which will give the value of x

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Ashley bought 14 rainbow and balloon stickers for her little sister. The rainbow stickers cost 6 cents apiece and the balloon st
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Ashley bought 6 rainbow stickers and 8 balloon stickers for her little sister.

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Slope for (-5,10)(-7,-8)
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