I will go about solving this using the elimination method.
First, convert the equations.
10x + y = -20
4x + y = -12
Second, find the easiest variable to get rid of and get rid of it! (In this case, y) We will subtract to get rid of y.
6x = -8
Third, you want to solve the equation.
6x = -8 (divide by 6)
x =
Fourth, solve for y by inserting the answer for x into one of the equations.
10(
) + y = -20
+ y = -20 (subtract
)
y =
The solution for this system of equations is (
,
).
Answer:9000
Step-by-step explanation:
Answer:
Area=153 cm²
Step-by-step explanation:
Length × Width= Area
17×9=153
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Define adult and student tickets
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Let the number of adult tickets be x
Adult tickets = x
Student tickets = x + 69
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Form equation and solve for x
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x + x + 69 = 569
2x + 69 = 569 ← Combine like terms
2x = 569 - 69 ← Subtract 69 from both sides
2x = 500
x = 250 ← Divide by 2 to find x
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Find the number of adult tickets and student tickets
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Adult tickets = x = 250
Student tickets = x + 69 = 319
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Answer: Adult tickets = 250 ; Student tickets = 319
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Answer:
Step-by-step explanation:
Slope-intercept form equation is given as 
Where,
y = distance remaining
x = hours driven
m = slope/constant rate. In this case, the value of m would be -65. This means the distance will reduce at a constant rate of 65 miles per hour.
b = y-intercept, which is the initial value or the distance between the cities = 420
Plug in the values into the slope-intercept equation, to represent the distance y in miles remaining after driving x hours. You would have:
