Answer:
37. {-1, -1}.
Step-by-step explanation:
I'll solve the first one . The other can be solved in a similar way. We can use the method of elimination.
x1 - x2 = 0
3x1 - 2x2 = -1
We can multiply the first equation by -2. We then have an equation containing + 2x2 so when we add this to the second equation the 2x2 will be eliminated
So the first equation becomes:
-2x1 + 2x2 = 0 Bring down the second equation:
3x1 - 2x2 = -1 Now adding, we get:
x1 + 0 = -1
so x1 = -1.
Now we substitute this value of x1 in the original first equation:
-1 - x2 = 0
-1 = x2
x2 = -1.
So the solution set is {-1, -1}.
If there are more than 2 equations you can use a combination of substitutions and eliminations.
<em><u>Question:</u></em>
The length of a room is 18 1
/2 feet. If using 1
/4 inch = 1 foot scale, what would be the length of a wall on a blueprint of a floor plan?
<em><u>Answer:</u></em>
The length of a wall on a blueprint of a floor plan is 
<em><u>Solution:</u></em>
Given that,

The scale given is:

To find: Length of a wall on a blueprint of a floor plan
Let "x" be the length of a wall on a blueprint of a floor plan
Then from given,

This forms a proportion and we can solve by cross multiplying

Thus length of a wall on a blueprint of a floor plan is 
You have to evaluate the slopes of these lines. For line AB you have a slope of

For line CD you have a slope of

Because the slopes are equal and the two lines are not one and the same, they are parallel.
The question is incomplete. Here is the complete question.
As a part of city building refurbishment project, architects have constructed a scale model of several city builidings to present to the city commission for approval. The scale of the model is 1 inch = 9 feet.
The model includes a new park in the center of the city. If the dimensions of the park in the model are 9 inches by 17 inches, what are the actual dimensions of the park?
Answer: 81 feet by 153 feet
Step-by-step explanation: <u>Unit</u> <u>Scale</u> is a ratio comparing actual dimensions of an object to the dimensions of model representing the actual object.
In the refurbishment project, the unit scale is given by
1 inch = 9 feet
So, the dimensions of the new park in actual dimensions would be
1 inch = 9 feet
9 inches = x
x = 9.9
x = 81 feet
1 inch = 9 feet
17 inches = y
y = 17.9
y = 153 feet
The actual dimensions of the new park are 81 feet by 153 feet.
Answer:
bhi
Step-by-step explanation:
hf