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The right answer is C)
<em>Consistent and independent system</em> of two linear equations is a system such that there is only one solution for the system, that is, the two straight lines cross at a point. So we can analyze each case and I have attached some graphs to provided you with examples. Those graphs aren't about the equations but it's about general cases:
<em>A) </em><u><em>Consistent and dependent</em></u><em>. </em>If we divide this given equation by 2 we get the same line. (See Figure 1)
<em>B) </em><u><em>Inconsistent</em></u><em>.</em><em> </em>No solutions. (See Figure 2)
C) <em><u>Consistent and Independent</u>.</em> (See Figure 3)
D) <u><em>Consistent and dependent</em></u>. If we multiply this equation by -1 we get the same line. (See Figure 1)</span>
Answer:
Answer:
x= 29/11 or y= 25/11
Step-by-step explanation:
2x - y= 3 ...........equation 1
x + 5y= 14 ............equation 2
Make x the subject of the formula in equation 2
x= 14 - 5y ..............equation 3
Substitute x=14 - 5y in equation 1
2(14- 5y) - y=3
28 - 10y - y=3
Collect like terms
-10y - y=3 - 28
-11y= -25
divide both sides by coefficient of y
-11y/-11 = -25/-11
y= 25/11
Substitute y= 25/11 in equation 3
x=14 - 5(25/11)
x= 14 - 125/11
x= 29/11
Step-by-step explanation:
Answer:
Yes, because they have the same scale factor and look the same when graphed. It's just rotated and bigger.
Answer:
Step-by-step explanation:
the answer is basically 4.5% and the 6%