Answer:
x = - 5, y = - 9
Step-by-step explanation:
Given
x + 9i = - 5 - yi
For the 2 sides to be equal then the coefficients of like terms must be equal.
x = - 5 and 9 = - y ⇒ y = - 9
Answer:
Step-by-step explanation:
Factorize using square root method.
x² - 2x + 2 = (x-a)² + b
x² -2x + 1 + 1 = (x-a)²+b
(x² - 2*x*1 + 1²) + 1 = (x -a)²+ b {Compare with a²- 2ab+b² which is (a - b)²}
(x - 1)² + 1 = (x - a)² + b
a = 1 and b = 1
Answer:
(x, y) = (1, 3)
Step-by-step explanation:
given the 2 equations
x + y = 4 → (1)
y = 3x → (2)
Substitute y = 3x into (1)
x + 3x = 4
4x = 4 ( divide both sides by 4 )
x = 1
Substitute x = 1 into (2) for corresponding value of y
y = 3 × 1 = 3
solution is (1, 3 )