Answer:
Step-by-step explanation:
The system of equations given are:
5x - y + z = -6 ------------- i
2x + 7y + 3z = 8 ---------- ii
x + 2z = 6 ----------------- iii
Let us deal with equation i and ii first since they have 3 variables x, y and z;
5x - y + z = -6 x 7
2x + 7y + 3z = 8 x 1
35x - 7y + 7z = -42 ---- iv
2x + 7y + 3z = 8 ---- v
Add equation iv and v;
37x + 10z = -34 ------vi
So, let us solve equation vi and iii:
x + 2z = 6 - ---------- iii x 10
37x + 10z = -34 --- iv x 2
10x + 20z = 60 vi
74x + 20z = -68 vii
Subtract vi - vii;
-64x = 128
x = -2
So; put x = -2 into iii;
x + 2z = 6
-2 + 2z = 6
2z = 6 + 2 = 8
z = 4
Put x = -2 and z = 4 into equation i;
5(-2) - y + 4 = - 6
-10 -y +4 = -6
-6 - y = -6
-y = 0
y = 0
Answer:
D
Step-by-step explanation:
You are given two complex numbers -i and 2+i.
For the complex number z=x+iy, the ordered pair (x,y) represents this complex number on the coordinate plane.
So, the numbers:
is represented by the ordered pair (0,-1)
is represented by the ordered pair (2,1).
Plot these two points on the coordinate plane and coonect them with a straight line. You'll get the last option of graph.
4(3/(8+1) = 4(3/9) = 12/9 = 4/3
4((3/8)+1) = 4(11/8) = 44/8 = 11/2
just depends on which way the equation is written
Answer:
(5,10)
(3,6)
Step-by-step explanation:
The equation y=2x means that 2 multiplied by the first value would equal the second value, so this means that the second value is twice as much as the first value. This is not true for the first option because 8 is not twice of 16, and this is the same for (4,6), (4,2), and (1,3). Therefore (5,10) and (3,6) work.
I think it is false, because you can have a contradicting statement to a true statement