A store has 300 televisions on order, and 30% are high definition. How many televisions on order are high definition? You may fi
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Answer:
The value of the variable x is -2 and the value of the variable y is -7.
Step-by-step explanation:
The substitution method consists of:
- Solve for an unknown in one of the equations, which will be a function of the other unknown .
- In the other equation that is not used, the same unknown is replaced by the expression obtained in step 1.
- Solve for the only remaining unknown, obtaining the numerical value of an unknown.
- Substitute the cleared unknown in step 3 for its numerical value in the equation obtained in step 1.
- Operate to obtain the numerical value of the other unknown.
In this case, you have the system of equations:
Isolating the variable y from the second equation:
y= -1 +3*x
Replacing this expression in the first equation:
2*x-3*( -1 +3*x)= 17
Solving:
2*x -3*(-1)-3*3*x= 17
2*x +3 -9*x= 17
2*x -9*x= 17 -3
(-7)*x= 14
x= 14÷(-7)
x= -2
Now, replacing the value of x in the expression y = -1 + 3 * x you get:
y= -1 +3*(-2)
Solving:
y= -1 -6
y= -7
So,<u><em> the value of the variable x is -2 and the value of the variable y is -7.</em></u>
A compass and straightedge are supposed to be part of the required equipment for your class. You are expected to use them here. Your assignment paper should be complete with pencil marks and holes from the compass point. Nobody can do it for you on-line.
Here is a picture of the first one worked. The remaining ones are just like it. The whole assignment should take about 3 minutes, tops.
Here is a picture of the first one worked. The remaining ones are just like it. The whole assignment should take about 3 minutes, tops.