Answer:
1) When x is 1, y is 4, and vice versa
2) When x is -6, y is 42, and when x is 7, y is 114
3) When x is -2, y is 2, and when x is 8, y is 42
Step-by-step explanation:
1)
which can be rearranged as 
.
Substituting this lone y into the first equation, you get:
Move everything to one side:
Factor:
2)
which can be rearranged as 
.
Let's use elimination this time and subtract the first equation from the second:
Factor:
3)
Let's set the two equations equal to each other through substitution:
Move everything to one side:
Factor:
Hope this helps!
Answer:
Step-by-step explanation:
18<n
Answer:
It won't be the same shape and length and width I think
Step-by-step explanation:
The sum of length and width is half the perimeter, 160 yd. The length is the average of the sum and difference of dimensions:
.. (160 +20)/2 = 90
Then the width is 160 -90 = 70
The rectangular field is 70 yd by 90 yd.
You can formulate your own equations by analyzing the given problem and its statements. You can do some illustrations so you can understand it better. Introduce some variables and the rest is algebra. For example:
An orange costs $2 while a banana costs $1.5. How many oranges and bananas do you have to buy such that the total cost would equal to $20. You bought a total of 12 fruits.
First, you have to introduce variables. Let 'x' be the number of oranges and 'y' be the number of bananas. One equation you can get from here is knowing the amount of total cost: 2x + 1.5y = 20. Then, the other equation would be knowing the amount of fruits: x+y=12. You have two unknowns and two equations. Hence, you can solve the problem. Solving them simultaneously, you would get that x=4 and y=8.
