(a + bi)(2 + 3i) - i = (-11 + 5i)(1 - i)
(a + bi)(2 + 3i) - i = -11 + 11i + 5i - 5i²
(a + bi)(2 + 3i) - i = -6 + 16i
(a + bi)(2 + 3i) = -6 + 17i
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a + bi = 3 + 4i
a = 3, b = 4
Answer:
x-intercept: (9,0)
y-intercept: (0,-9)
Step-by-step explanation:
The x-intercept and y-intercept is the point at which a line intersects the x-axis and y-axis, respectively. All points on the x-axis have a y-value of 0, while all points on the y-axis have an x-value of 0. Thus, to find the x and y intercepts, substitute 0 for one of the variables in the equation, then solve for the other.
1) To find the x-intercept, substitute 0 for y. Then, isolate x.
So, the x-intercept must be (9,0).
2) To find the y-intercept, substitute 0 for x. Then, isolate y.
So, the y-intercept must be (0,-9).
100, it is the smallest 3 digit even number
Mulitply second equation by 2 and add to first
3y+2z=12
<u>2y-2z=18 +</u>
5y+0z=30
5y=30
divide 5
y=6
sub back
y-z=9
6-z=9
minus 6
-z=3
times -1
z=--3
x=-3
y=6