Answer:
(5, 3 ) and (-
, - 10 )
Step-by-step explanation:
Given the 2 equations
2x - y = 7 → (1)
xy = 15 → (2)
Rearrange (1) expressing y in terms of x , that is
y = 2x - 7 → (3)
Substitute y = 2x - 7 into (2)
x(2x - 7) = 15
2x² - 7x = 15 ( subtract 15 from both sides )
2x² - 7x - 15 = 0 ← in standard form
(x - 5)(2x + 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - 
Substitute these values into (3) for corresponding values of y
x = 5 : y = 2(5) - 7 = 10 - 7 = 3 ⇒ (5, 3 )
x = -
: y = 2(-
) - 7 = - 3 - 7 = - 10 ⇒ (-
, - 10 )
Elena's height in centimeters is 142.24 cm.
Elena's height in meters is 1.42 meters.
<h3>What is Elena's height in centimeters and meters?</h3>
The mathematical operations that would be used to determine the answers ae division and multiplication.
Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷. Multiplication is the operation that is used to determine the product of two or more numbers.
In order to determine the height in centimeters, first determine how many cenitmeters make 1 inch
1 inch = 254 / 100
1 inch = 2.54 cm
Now, convert 56 inches to cm : 56 inches x 2.54 = 142.24 cm
In order to determine the height in meters, first find the unit of conversion of inches to meters
1 inch = 0.0254 meters
0.0254 x 56 = 1.42 meters
To learn more about division, please check: brainly.com/question/13281206
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Since L1//L2 , angle 1 = angle 5
Answer: 1 < x < 2
Step-by-step explanation: