Find the solution to the following system of linear equations:
0.2x + 0.3y = 1.2
0.1x – 0.1y = 0.1
0.2x + 0.3y = 1.2
2x+3y=12 …..(1)
0.1x – 0.1y = 0.1x-y=1 ….(2)
From (2), x=1+y
Substituting the values of x in (1)
2(1+y)+3y=12
2+2y+3y=12
5y=10
y=2
x=1+2= 3
Find the solution to the following system of linear equations: 3x-y+9=0 3x+4y-6 = 0
3x-y+9=0 …(1)
3x+4y-6=0 …(2)
From 1
3x=y-9
Substituting in 2
y-9+4y-6=0
5y-15=0
y=3
x=-2
Find the solution to the following system of linear equations:
2x-y+6=0 4x+5y-16 = 0
2x-y+6=0
y=2x+6 ….(1)
4x+5y-16=0
Substituting the values
4x+5(2x+6)-16=0
14x+14=0
x=-1
y=4
Find the solution to the following system of linear equations:
2p+3q = 9 p – q = 2
Find the solution to the following system of linear equations:
2x-5y+4 = 0 2x+y-8 = 0
The sum of two numbers is 45 and one is twice the other. What is the smaller number?
Find the solution to the following system of linear equations:
x-2y = 6
2x+y = 17
The correct answer is a.
x-2y = 6
2x+y = 17
2x - 4y = 12
2x + y = 17
-5y = -5
y = 1
x-2(1) = 6
x= 8
The present age of a father is the sum of the ages of his three sons. Ten years from now his age will be a three quarter of the sum of their ages then. How old is the father?
Which of the following points lie on the line 3x+2y = 5 ?
When we are given only one equation and two variables we assume values for one variable and find the values for the other variable.
3x+2y=5
Let x=1
3*1+2y=5
2y=2
y=1 hence (1,1) lies on the line.
The Index of Coincidence for English language is approximately
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