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10th
Maths
Pair of Linear Equations in Two Variables
Algebraic Solution of a Pair of Linear Equations
Solve: 3x + 4y = 10,2x - 2y...
MATHS
Asked on December 27, 2019 byShweta Rudravaram
Solve: 3x+4y=10,2x−2y=2 by the method of elimination.
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ANSWER
3x+4y=10 …………..(1)
2x−2y=2 (or) x−y=1 …………(2)
(1) ⇒(3x+4y=10)1
(2) ⇒(x−y=1)3
_____________________
3x+4y=10
3x−3y=3
_____________________
7y=7
∴y=1
Put y=1 in (1) we get 3x+4×1=10
3x=10−4=6
∴x=36=2
Hence x=2,y=1.
X = small van capacity, y = larger van capacity
y = x + 6
2x + y = 57
now we sub in x + 6 for y
2x + x + 6 = 57
3x + 6 = 57
3x = 57 - 6
3x = 51
x = 51/3
x = 17
y = x + 6
y = 17 + 6
y = 23
small van (x) has 17 seats and large van (y) has 23 seats
The amount of substance left of a radioactive element of half life,
after a time, t, is given by:
Given that <span>potassium-40 has a half life of approximately 1.25 billion
years.
The number of years it will take for 0.1% of potassium-40 to remain is obtained as follows:
Therefore, </span><span>the maximum age of a fossil that we could date using 40k is
12.5 billion years.</span>