Solve the following values for x and y :

Answer and Step-by-step explanation:

2(5x - 5) = 6x + 50

Distribute the 2 to the 5x and -5.

10x - 10 = 6x + 50

Add 10 to both sides, and subtract 6x from both sides.

4x = 60

Divide both sides by 4.

x = 15

5y + 5 = 7y - 9

Subtract 5 from both sides, and 7y from both sides.

-2y = -14

Divide both sides by -2.

y = 7

#teamtrees #PAW (Plant And Water)

8) If the base of the exponents match on both sides of the equal sign, then the exponents can be set equal to each other.

So since (5ˣ)⁵ = 5³⁵, the base 5 is on both sides.

5(x) = 35

5x = 35

Divide by 5 on both sides to isolate the variable.

x = 7

9) Without evaluating (much) you can tell by common sense that (2⁵)(10⁵) is bigger.

The exponents are the same so you can multiply the bases. 4x5 = 20. 2 x 10 = 20. Now, just look at the exponents to see which is bigger. 5 > 4. Therefore, (2⁵)(10⁵) is bigger.

10) Nicholas's second statement is false. (2⁶)(2⁶) is the same as (2⁶)². In this case since they have the same base, you would multiply the exponents. 6 x 2 = 12. Therefore, (2⁶)(2⁶) = 2¹²