Answer:
Infinite amount of solutions
Step-by-step explanation:
Step 1: Write equation
4(3x + 3) = 15x + 7 - 3x + 5
Step 2: Solve for <em>x</em>
- Distribute 4: 12x + 12 = 15x + 7 - 3x + 5
- Combine like terms: 12x + 12 = 12x + 12
- Subtract 12 on both sides: 12x = 12x
- Divide both sides by 12: x = x
Here, we can see that <em>x</em> would be infinite amount of solutions. We can plug in any number <em>x</em> and it would render the equation true.
<span>2/3 (x-7)= -2
x - 7 = -2 * 3/2
x - 7 = -3
x = -3 + 7
x = 4</span>
Complete Question
Sophie pays m dollars to rent a car for the weekend. On the drive home, she buys $45 worth of gasoline. Her friend Melody pays for one-half the cost of the car rental only. Write an expression you could use to determine how much Sophie spent.
Answer:
1/2m + 45
Step-by-step explanation:
We are told in the question that:
On the drive home, she buys $45 worth of gasoline.
Her friend Melody pays for one-half the cost of the car rental only.
Sophie pays m dollars to rent a car for the weekend.
The amount sophie pays for car rental = m - 1/2m
= 1/2m
Therefore, the expression used to determine how much sophie spent is written as:
1/2 × $m + $45
1/2m + 45
The answer to your question is 3:23