Answer:
x = 1
y = 3
Step-by-step explanation:
<h2>
<em><u>Substitution Method</u></em><em><u>:</u></em></h2>
Step 1:
Name The Equation
4x + y = 7 ...(1)
3x + 2y = 9 ...(2)
Step 2:
From Equation (1) we get,
4x = 7 - y
i.e.,
x = 7 - y/4
Step 3:
Substitute the value of <em><u>x = 7 - y/4</u></em> in equation (2)
i.e.,
3(7 - y/4) + 2y = 9
21 - 3y/4 + 2y = 9
21 - 3y + 8y/4 = 9
21 - 3y + 8y = 9 * 4
21 + 5y = 36
5y = 36 - 21
5y = 15
y = 15/5
<em><u>y = 3</u></em>
Step 4:
Substitute the value of <em><u>y = 3</u></em> in equation (1)
4x + y = 7
i.e.,
4x + (3) = 7
4x + 3 = 7
4x = 7 - 4
4x = 4
x = 4/4
<em><u>x = 1</u></em>
<h2><em><u>Verification</u></em><em><u>:</u></em><em><u> </u></em></h2>
4x + y = 7 i.e., <em>4(1) + (3) = 7</em>
3x + 2y = 9 i.e., <em><u>3(1) + 2(3) = 9</u></em>
The expression equivalent to the total distance Rhonda drove is 51x = 275
Given:
Distance 1:
Number of miles = 51 miles
Number of hours = 5 hours
Distance 2:
Number of miles = 55 miles
Number of hours = x hours
<em>Ratio of miles to number of hours</em> = 51 miles : 5 hours
<em>Ratio of miles to number of hours</em> = 55 miles : x hours
Equate the ratios
51 : 5 = 55 : x
51/5 = 55/x
cross product
51 × x = 5 × 55
51x = 275
x = 275 / 51
x = 5.392156862745098
Approximately,
x = 5.4 hours
Therefore, the number of hours taken to travel 55 miles is 5.4 hours
Read more:
brainly.com/question/3796978
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Step-by-step explanation:
I'm pretty sure the answer is 2.9 because It's closer to 3 than 2
Let p and w represent the speed of the plane and the speed of the wind, respectively.
.. speed = distance/time
.. p +w = 720/3 = 240
.. p -w = 720/4 = 180
Add the two equations to eliminate w.
.. 2p = 420
.. p = 210
.. w = p -180 = 30
The speed of the wind is 30 mph.
The speed of the plane in still air is 210 mph.
