How to solve this problem by classifying systems of equations 3x+4y=36 -5x=35-3y
1 answer:
Answer:
x=-32/29
Step-by-step explanation:
3x+4y=36 Equation 1
-5x+3y=35 Equation 2
Multiplying equation 1 with 3 (value before y in equation 2) and equation 2 with 4 (value before y in equation 1) we obtain equations 3 and 4 as follows
9x+12=108 equation 3
-20x+12y=140 equation 4
Subtracting equation 3 from equation 4 we obtain
-29x=32
x=-32/29
To find the value of y, we substitute the value of x into equation 2 as initially given in the equation
-5(-32/29)=35-3y
-5(-32/29)-35=-3y
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Answer: 2 more calories skiing
Step-by-step explanation:
First find the slope of each line.
Slope of Skiing:
= (Y₂ - Y₁) / (X₂ - X₁)
= (400 - 240) / (50 - 30)
= 8
= 8 calories per minute
Slope of Hiking
= (360 - 120) / (60 - 20)
= 6
= 6 calories per minute
Difference:
= 8 - 6
= 2 more calories skiing
