Expression w/ more than 1 operation W5 Notes
1 answer:
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Answer:
1) (3,5)
2) (4,-7)
3) (6,4)
4) (-4,-3)
Step-by-step explanation:
1)
Subtract y from both sides of the equation.
x = 8 − y
x − y = −2
Replace all occurrences of x in x − y = −2 with 8 − y.
x = 8 − y
(8 − y) − y = −2
Subtract y from −y.
x = 8 − y
8 − 2y = −2
Solve for y in the second equation.
x = 8 − y
y = 5
Replace all occurrences of y in x = 8 − y with 5.
x = 8 −(5)
y = 5
Simplify 8 −(5).
x = 3
y = 5
Slope = (3,5)
2)
Multiply each term by 2 and simplify.
2x+y=12
y+6=−x−4
Move all terms containing variables to the left side of the equation.
2x+y=1x+2
y+6=−4
Move all terms not containing a variable to the right side of the equation.
2x+y=1x+2
y=−10
Multiply each equation by the value that makes the coefficients of x opposite.
2x+y=1(−2)⋅
(x+2y)=(−2)(−10)
Simplify.
2x+y=1−2x−4
y=20
Add the two equations together to eliminate x from the system.
2x+y=1+−2x−4
y=20−3
y=21
Divide each term by −3 and simplify.
y = −7
Substitute the value found for y into one of the original equations, then solve for x.
x = 4
slope (4,-7)
3)
Subtract y from both sides of the equation.
2x−y=8x−y=2
Multiply each equation by the value that makes the coefficients of y opposite
2x−y=8(−1)⋅
(x−y)=(−1)(2)
Simplify. 2x−y=8
−x+y=−2
Add the two equations together to eliminate y from the system.
2x−y=8 + −x+y=−2x=6
Substitute the value found for x into one of the original equations, then solve for y.
y=4
slope (6,4)
4)
Simplify 2(x+1).
y−3=2x+2
y=−3(x+5)
Simplify −3(x+5)
y−3=2x+2
y=−3x−15
Move all terms containing variables to the left side of the equation.
−2x+y−3=2
y=−3x−15
Add 3x to both sides of the equation.
−2x+y−3=2
y+3x=−15
Move all terms not containing a variable to the right side of the equation.
−2x+y=5
y+3x=−15
Reorder the polynomial.
−2x+y=5
3x + y=−15
Multiply each equation by the value that makes the coefficients of y opposite.
−2x+y=5(−1)⋅
(3x+y)=(−1)(−15)
Simplify.
−2x+y=5
−3x−y=15
Add the two equations together to eliminate y from the system.
−2x+y=5 + −3x−y=15−5x=20
Divide each term by −5 and simplify.
x=−4
Substitute the value found for x into one of the original equations, then solve for y.
y=−3
slope (-4,-3)
Answer:
The dimension of the rectangular pool is
Step-by-step explanation:
Given : A rectangular swimming pool is three times as long as it is wide. If the perimeter of the soccer field is 300 yards.
To find : What are the dimensions?
Solution :
Let the width of the rectangular pool be 'x'.
A rectangular swimming pool is three times as long as it is wide.
The length of the pool be '3x'
The perimeter of the rectangular swimming pool is
The perimeter of the soccer field is 300 yards.
Substitute the value in the formula,
The width of the pool is x=37.5 unit
The length of the pool is
Therefore, The dimension of the rectangular pool is
Answer:
The unit ratio would be 8 grams per milliliters
Step-by-step explanation:
Since, the unit ratio is a fraction with denominator 1,
In other words, the amount of one quantity in unit amount of other quantity is called unit rate or unit ratio.
Here, the amount first quantity = 16 grams,
The amount of second quantity = 2 milliliters,
Thus, unit ratio =
= 8 grams per milliliters