(2x-12)=56 how do you find x
2 answers:
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Answer:
The solutions for both system of equations are as follows:
- (5,2)
- (2,-1)
Step-by-step explanation:
The first set of equations is:
It can clearly be seen that the coefficients of y are already same in magnitude with different signs so we have to add both equations
So adding both equations, we get
Putting x=5 in equation 1
The solution is (5,2)
The second set of simultaneous equations is:
We can see that the coefficients of x in both equations are same in magnitude with opposite signs so
Adding both equations
Putting y= -1 in first equation
The solution is: (2,-1)
Hence,
The solutions for both system of equations are as follows:
- (5,2)
- (2,-1)
In the carnival the number of games number of rides Wyatt went on is 3 and 6 respectively.
<h3>What is system of equation?</h3>
A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
The number of unknown objects can be find using the system of solution.
Given information-
The cost of each game is $1.25.
The cost of each ride is $2.75.
Total amount of money spent by the Wyatt is $20.25.
The number of rides he went on is twice the number of games he played.
Suppose the number of games Wyatt played is x and the number of rides he went in the carnival is <em>y. </em>
As, the number of rides he went on is twice the number of games he played. Thus,
Let the above equation as equation one.
As total amount of money spent by the Wyatt is $20.25 and The cost of each game is $1.25 and the cost of each ride is $2.75. Thus,
Put the value of y in the above equation from the equation one as,
Thus the number of games he played is 3.
Put this value of <em>x </em>in the equation one as,
Thus the number rides Wyatt went on is 6.
Hence, In the carnival the number of games number of rides, Wyatt went on is 3 and 6 respectively.
Learn more about the system of equations here;