Solve 3(5x-4) < 15x
2 answers:
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Answer:
Step-by-step explanation:
1. Approach
First, convert the dimensions of the room from feet to yards. Remember, the conversion rate between feet and yards is, . Next, find the area of the room by multiplying the length by the width.
2. Convert the unit of measurement
The measurement unit is given in feet, one must convert it into yards. The conversion rate between yards and feet is, .
3. Find the area of the room
Now multiply the length by the width to find the area of the room.
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).
