Solving special systems.
1 answer:
Given:
The equations of system of equations are
To find:
The solution of given system of equations.
Solution:
We have,
...(i)
...(ii)
Adding y on both sides in (ii), we get
It is same as equation (i). So, we can say that equation (i) and (ii) represent the same line or they are coincident.
Thus, the system of equations has infinitely many solutions.
Therefore, the correct option is C.
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<h2>Answer:</h2>
<em>(Check attached images).</em>
<h2>Step-by-step explanation:</h2><h3>Exercise 1.</h3>a. Convert to decimals.
To order the numbers from least to greaters, convert them to decimals and compare.
b. Select the second least number.
-0.8.
<h3>Exercise 2.</h3>a. Convert to decimals.
b. Select the correct number.
.
a. Convert to decimals.
<em>After seeing that there are negative and positive numbers, and with the premise that negative numbers are </em><u><em>always</em></u><em> lesser than positive numbers, we'll only compare the positive numbers.</em>
<em>59%=0.59</em>
<em>3/5=0.6</em>
<em />
b. Select the correct number.
3/5.
<h3>Exercise 4.</h3>a. Convert to decimals.
-0.35
-3.5%= -0.035
b. Conclude.
Seeing that -3.5% is less than -0.35, the symbol that makes the statement true is ">".
<h3>Exercise 5.</h3>a. Try to visually estimate b.
B appears to have a value of -0.9.
b. Convert the numbers to decimals.
-3.4%= -0.034
-0.031
-1/5= -0.2
c. Select the correct answer.
<em>Since we estimated the value of b as -0.9, the number that best adequates to its value is </em>.
a. Convert to decimals.
<em>After seeing that there are negative and positive numbers, and with the premise that negative numbers are </em><u><em>always</em></u><em> lesser than positive numbers, we'll only compare the positive numbers.</em>
5.2%= 0.052
1/7= 0.1429
b. Select the correct number.
5.2% is the second largest.
<h3>Exercise 7.</h3>a. Convert to decimals.
6/7= 0.857143
0.857
b. Select the correct answer.
Seeing that 0.857 is marked as an approximate by the
ellipsis, and considering that 6/7 is an irrational numbers, we can conclude that the number that better fits the situation and makes the statement true is "=".
<h3>Exercise 8.</h3>a. Convert to decimals.
<em>After seeing that there are negative and positive numbers, and with the premise that negative numbers are </em><u><em>always</em></u><em> lesser than positive numbers, we'll only compare the negative numbers.</em>
<em>-4.6</em>
<em />
b. Select the correct answer.
The smallest number is -4.6.
We know that the law of sines states that:
For simplicity, let:
In triangle A1BC this leads to:
Therefore:
Now, triangle A2BC is isosceles which means that both the base angles are equal, since angle CA1B and A2A1B are supplementary we have: