Answer:
y = 4 or y = 6
Step-by-step explanation:
2log4y - log4 (5y - 12) = 1/2
2log_4(y) - log_4(5y-12) = log_4(2) apply law of logarithms
log_4(y^2) + log_4(1/(5y-12)) = log_4(/2) apply law of logarithms
log_4(y^2/(5y-12)) = log_4(2) remove logarithm
y^2/(5y-12) = 2 cross multiply
y^2 = 10y-24 rearrange and factor
y^2 - 10y + 24 = 0
(y-4)(y-6) = 0
y= 4 or y=6
To solve an equation for x we will try to isolate x. Hence, first step is to use the distributive property. Therefore,
4x + 29 = 5 - 8(x+6)
4x + 29 = 5 - 8x - 48
4x + 29 = - 43 -8x Combine the like terms.
4x + 29 + 8x = -43 Add 8x to each sides of the equation.
12x + 29 = -43
12x = -43 - 29 Subtract 29 from each sides.
12x = -72

So, x =- 6
Given.
(1)
(2)
Re-arrange equation (2)




Multiply equation (2) by -1

(3)
Combine like terms and solve.


Divide by (2y) and solve for (y).


Substitute (y) for equation (1).



Add (8) to both sides.


Divide by (3).


Check your work.








Your answers is
and 
3 decreased by 100 is -97. 3-100
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