Answer:
(x, y) =(2,2)
Step-by-step explanation:
5x+3y=16 /*5
3x-5y=-4 /*3
25x+15y=80 (1)
9x-15y=-12 (2)
(1)+(2): 34x=68
9x-15y=-12
x=68/34
9x-15y=-12
x=2
9*2-15y=-12
x=2
18-15y=-12
x=2
-15y=-12-18
x=2
-15y=-30
x=2
y=-30/(-15)
x=2
y=2
(x,y)=(2,2)
Answer:
x = 45
y = 7
Step-by-step explanation:
To obtain the value of x and y, do the following:
√7 – 3√5
Rearrange
– 3√5 + √7
Multiply through by –1
3√5 – √7 ... (1)
Express 3√5 as a single surd
3√5 = √(3 × 3 × 5)
3√5 = √45
Replace 3√5 with √45 in equation 1
3√5 – √7
√45 – √7
Comparing
√45 – √7 and √x – √y i.e
√45 – √7 = √x – √y
x = 45
y = 7
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Answer:
s-8
Step-by-step explanation:
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Answer:
Step-by-step explanation:
6) taking 45 degrees as the reference angle,
the adjacent side is √6
The opposite side is x
The hypotenuse is y
Therefore, we would apply trigonometric ratio.
Tan # = opposite side / adjacent side
Tan 45 = x/√6
1 = x/√6
x = 1 × √6 = √6
Cos # = adjacent side/hypotenuse
Cos 45 = √6/y
Cos 45 expressed in surd form is √2/2. Therefore,
√2/2 = √6/y
y √2 = 2√6
y = (2√6)/√2
