Identify a possible first step using the elimination method to solve the system and then find the solution to the system. 2x − 5
2 answers:
In order to use the elimination method, we have to multiply the equation by some number, so that one of the variable has the same coefficient.
For example, multiplying the first equation by 3 and the second by 2 gives the following, equivalent system:
Now, we can subtract the two equations, and we will cancel (eliminate) the x variable:
Now that y is known, plug it into one of the equations: for example, if we use the first one we get
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Complete question
<em>18. GOLF Luis and three friends went golfing. Two of the friends rented clubs for $6 each. The total cost of the rented </em>
<em>clubs and the green fees for each person was $76. What was the cost of the green fees for each person? Define a </em>
<em>variable, write an equation, and solve the problem.</em>
The variable defined is "y", the equation is 4y + 2(6) = 76 and the value of the unknown variable is 16
Let the cost of green fees per person be y
If Luis and three friends went golfing, this means that 4 people went golfing. The total cost of green fees for all of them will be $4y
If two of the friends rented clubs for $6 each, total amount spent will be $2(6)
The equation that models the statement will then be expressed as;
Solve for y
The variable defined is "y", the equation is 4y + 2(6) = 76 and the value of the unknown variable is 16.
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