Dependent
The general form for a pair of linear equations in two variables x and y is
and
----- (1)
----- (2)
Comparing equations 1 and 2 with the general form of equation to write their co-efficient,
Compare the ratio,
If , then the pair of linear equations has exactly one solution.
So, it said to be consistent.
Answer:
Step-by-step explanation:
1. The answer is 8/35.
2. This works because 8/35 equals 22.857142857142858.
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Treat the matrices on the right side of each equation like you would a constant.
Let 2<em>X</em> + <em>Y</em> = <em>A</em> and 3<em>X</em> - 4<em>Y</em> = <em>B</em>.
Then you can eliminate <em>Y</em> by taking the sum
4<em>A</em> + <em>B</em> = 4 (2<em>X</em> + <em>Y</em>) + (3<em>X</em> - 4<em>Y</em>) = 11<em>X</em>
==> <em>X</em> = (4<em>A</em> + <em>B</em>)/11
Similarly, you can eliminate <em>X</em> by using
-3<em>A</em> + 2<em>B</em> = -3 (2<em>X</em> + <em>Y</em>) + 2 (3<em>X</em> - 4<em>Y</em>) = -11<em>Y</em>
==> <em>Y</em> = (3<em>A</em> - 2<em>B</em>)/11
It follows that
Similarly, you would find
You can solve the second system in the same fashion. You would end up with
9514 1404 393
Answer:
{(0, −5), (2, 9), (−3, −26)}
Step-by-step explanation:
You only need to try the first point in each set to eliminate the wrong answers.
a: 7(-5)-5 = -40 ≠ 0
b: 7(2)-5 = 9 ≠ 7
c: 7(0)-5 = -5 . . . matches given point
d: 7(1)-5 = 2 ≠ 3
The third choice is the correct one: {(0, −5), (2, 9), (−3, −26)}.
Answer:
Acc to the exponential rule
{[A^m]} ^2
A ^m*n
Hence A raise to 3 whole raise to 2 is equal to
A raise to 3*2=6
That is A raise to 6
