Answer:I need help on my question
Step-by-step explanation:
Please
Answer:
The answer to your question is a = 40, b = 5/8
Step-by-step explanation:
Data
ab = 25
log₄a - log₄b = 3
Process
1.- Use the law log of a quotient
log₄ a/b = 3
2.- Convert the log to an exponent
a/b = 4³
a/b = 64 Equation l
ab = 25 Equation ll
3.- Solve equation l for a
a = 64b
4.- Substitute in equation ll
(64b)b = 25
-Simplify
64b² = 25
-Solve for b
b² = 25/64
b = 5/8
5.- Substitute the value of b to find a
a = 64(5/8)
-Simplification
a = 40
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3(5y-6)-2y=8
15y-18-2y=8
13y-18=8
13y=26
y=2
That is because you have the expression you can substitute it on the system.( hope this helps)
Answer:
(32/15, -2/5)
Step-by-step explanation:
(1) ³/₂x - 2y = 4
(2) x + ⅓y = 2
(3) 3x - 4y = 8 Multiplied (1) by 2
(4) 3x + y = 6 Multiplied (2) by 3
5y = -2 Subtracted (3) from (4)
(5) y = -⅖ Divided each side by 5
x + ⅓(-⅖) = 2 Substituted (5) into (2)
x - ²/₁₅ = 2
x = 2 + ²/₁₅ Added ²/₁₅ to each side
x = 32/15
The system of equations has only one solution: (32/15, -2/5).