Answer:
x = 10
y = 25
Step-by-step explanation:
if you add the equations as they are then the 'y-term' is eliminated:
60x = 600
x = 10
substitute x=10 to find value of 'y':
40(10) + 4y = 500
400 + 4y = 500
4y = 100
y = 25
Check:
20(10) - 4(25) should equal 100
200 - 100 = 100
100 = 100
Answer:
The extraneous solution is 4.
Step-by-step explanation:
First, let us calculate the value of 'x' without squaring both side of the expression. This is illustrated below:
-5 = 3x - 7
Collect like terms
-5 + 7 = 3x
2 = 3x
Divide both side by 3
x = 2/3.
Now, let us calculate the value of 'x' by squaring both side of the expression. This is illustrated below:
(-5)^2 = (3x - 7)^2
25 = (3x - 7)(3x - 7)
25 = 9x^2 - 21x - 21x + 49
9x^2 - 42x + 49 - 25 = 0
9x^2 - 42x + 24 = 0
Solving by factorisation:
Multiply the first term i.e 9x^2 and 3rd term i.e 24 together. The result is 216x^2.
Next, we shall obtain two factors of 216x^2 such that when we add them together, it will give the 2nd term i.e -42x in the equation. These factors are: -6x and -36x
Now we can write the above equation as:
9x^2 - 42x + 24 = 0
9x^2 - 6x - 36x + 24 = 0
3x(3x - 2) - 12(3x - 2) = 0
(3x - 12)(3x - 2) = 0
3x - 12 = 0 or 3x - 2 = 0
3x = 12 or 3x = 2
x = 12/3 or x = 2/3
x = 4 or 2/3.
We can see that when we solve the question without squaring both side, the value of x is 2/3. But when we solve by squaring both side, the value of x are 4 and 2/3.
Therefore, the extraneous solution to the question is 4.
Answer:
Step-by-step explanation:
Find the next three terms: 9,4,-,1,-6,-11,<u>-16....</u>
This is arithmetic progression.
d = 4 - 9 = -5
-11 - 5 = -16
2) You know that........
The other integer is greater than 5 and the sign of the other number is + (positive sign)
Eg: (-5)+ 11 = 6
3) Cost of one gallon = 46.20/12 = $ 3.85
A posted speed limit of 55 mph means that: You may drive 55 mph only under favorable conditions.
<h3>What is the speed limit?</h3>
Speed limits on road traffic, as used basically to set the legal maximum speed at which vehicles are permitted to utilize on a given stretch of road.
Now generally, speed limits are normally indicated on traffic signs reflecting the maximum allowable speed in kilometers per hour (km/h) or eevn miles per hour (mph). They are primarily set by the legislative bodies of national or provincial governments and then enforced by law enforcement agencies. This suggests that speed limits varies from road to road and is even absent in some certain areas.
Now, in this question we are told that the posted speed limit is 55 mph. Thus, from our definitions of speed limits above it is clear that A posted speed limit of 55 mph means that: You may drive 55 mph only under favorable conditions.
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The number of jolly rangers candy she has is 22. The number of twix bars she has is 11.
<h3>What are the linear equations that represent this question?</h3>
j + t = 33 equation 1
4t = 2j
j = 2t equation 2
Where:
j = number of jolly rangers
t = j = number of twix
<h3>How many twix candies does Julianna have?</h3>
Substitute for j in equation 1 using equation 2
2t + t = 33
3t = 33
t = 11
<h3>How many jolly candies does Julianna have?</h3>
Subsitute for t in equation 2
j = 11 x 2 = 33
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