Answer:
x = 7
Step-by-step explanation:
Hi,
7x - 7 = 4x + 14
3x - 7 = 14
3x = 21
x = 7
I hope this helps :)
The greatest number of people that William and Debra may invite and still stay within their budget is 63.
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Since William and Debra have budgeted $2,500 for their reception. Therefore, their total expenses should be equal to the total expenses in the reception.
Budget = Total expenses
Budget = Reception hall Cleanup charge + $38 per person fee
Let the number of people invited to the party be represented by x,
$2,500 = $100 + $38(x)
2500 = 100 + 38x
2500 - 100 = 38x
2400 = 38x
x = 2400 / 38
x = 63.157 ≈ 63
Hence, the greatest number of people that William and Debra may invite and still stay within their budget is 63.
Learn more about Equation here:
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y-intercept -3
slope 1/2
is sufficient info with which to write an equation for a straight line:
y = mx + b becomes y = (1/2)x - 3.
You should check this by determining whether or not (2,-1) satisfies this equation.
Based on the calculations, the unknown number is equal to
- Let the unknown number be x.
<h3>How to find an
unknown number:</h3>
Translate the word problem into an algebraic expression, we have;
Adding 21 to the unknown number:
Multiplying the result by 3:
84 more than two-thirds of the unknown number:
Equating the equations, we have:
Cross-multiplying, we have:
Read more on word problems here: brainly.com/question/13170908