The equation that could represent a linear combination of the system 2/3x + 5/2y = 15 and 4x + 15y = 12 is 0 = 26
<h3>What are linear equations?</h3>
Linear equations are equations that have constant average rates of change, slope or gradient
<h3>How to determine the linear combination to the system?</h3>
A system of linear equations is a collection of at least two linear equations.
In this case, the system of equations is given as
2/3x + 5/2y = 15
4x + 15y = 12
Multiply the first equation by 6, to eliminate the fractions.
6 * (2/3x + 5/2y = 15)
This gives
4x + 15y = 90
Subtract the equation 4x + 15y = 90 from 4x + 15y = 12
4x - 4x + 15y - 15y = 12 - 90
Evaluate the difference
0 + 0 = -78
Evaluate the sum
0 = -78
The above equation is the same equation as option (b) 0 = 26
This is so because they both represent that the system of equations have no solution
Hence, the equation that could represent a linear combination of the system is 0 = 26
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Answer:
8.4$
Step-by-step explanation:
In other words, a 30% discount for a item with original price of $28 is equal to $8.4.
Answer:
Step-by-step explanation:
its c
Answer:
<em>(A) $18</em>
<em>(B)
</em>
<em>(C) Coefficient of x-term represents the cost for each ride ticket and constant term represents the cost of admission to the fair.</em>
Step-by-step explanation:
(A)
The county fair charges $2.50 per ticket for the rides and Henry bought 15 tickets for the rides.
So, the total cost of the 15 tickets will be: 
He spent total $55.50 on ride tickets and fair admission.
So, the cost of admission to the fair will be: 
(B)
If
represents the number of ride tickets and
represents the total cost, then the cost for
number of ride tickets is 
So, the linear equation that can be used to determine the cost for anyone who pays for ride tickets and fair admission will be: 
(C)
In the above linear equation, <u>coefficient of x-term is 2.50, which represents the cost for each ride ticket</u>.
And the <u>constant term is 18, which represents the cost of admission to the fair</u>.
Answer: <em>-1</em>
Step-by-step explanation:
