How many solutions will each system of linear equations have? Match the systems with the correct number of
1 answer:
Answer:
Step-by-step explanation:
Given that,
y = x + 6 equation 1
3x - 3y = -18. Equation 2
Substitute equation 1 into equation 2
3x-3(x+6) = -18
3x - 3x - 18 = -18
-18 = -18
Therefore, it has no solution. Check attachment for echelon matrix solution
B. y = -2x + 5 equation 1
2x + y = -7. Equation 2
Substitute equation 1 into 2
2x -2x + 5 = -7
5 = -7
Since the equation is not balance, then, it has infinite numbers of solution.
C. y = -4x + 11. Equation 1
6x + y = 11. Equation 2
Substitute equation 1 into 2
6x - 4x + 11 = 11
2x = 11 - 11
2x = 0
x = 0
Also, y = -4x + 11
y = 0 + 11 = 11
Then, this has a unique solution I.e. one solution.
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<u>Answer:</u>
3 and 60
<u>Step-by-step explanation:</u>
For the given proportions, , 3 and 60 are the extremes while 12 and 15 are the means.
To understand this, we can take a look at an example.
Suppose two ratios a:b and c:d are in proportion.Then it can be expressed as :
Here, a and d are the extreme ends and b and c are the means.
<span>see the drawing in an attachment
x distance=15
y distance= 8
</span><span>hypotenuse=17
sinB=8/17
cosB=15/17
tanB=sinB/cosB
tanB=8/15</span>
x distance=15
y distance= 8
</span><span>hypotenuse=17
sinB=8/17
cosB=15/17
tanB=sinB/cosB
tanB=8/15</span>