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S
olve the following systems of equations in questions 1-
5:
1) 2x + 3y = 10
3x + 4y = 18
2) x + y = 6
-x + y = 18
3) 5x + 2y = 37
3x - 2y = 51
4) 3x - y
= 29
-2x + 5y = -2
5) -2x - 17y = 11
4x - 13y = 25
6) F
ind the sum of x and y for the following system::
6x + 5y = 7x + 3y + 1 = 2(x + 6y - 1)
7) I
f Ayesha gives ₹30 to Bob, then Bob will have twic
e
the m
oney left with Ayesha. But, if Bob gives ₹10 to
Ayesha, then Ayesha will have thrice as much as is
left with Bob. How much money does Bob have
initial
ly?
L
inear Equations In Two Variables Worksheets
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8) Five years ago, A was thrice as old as B and ten
years later, A shall be twice as old as B. Fill in
the blank below:
+ = ___
9) A part of the monthly expenses of a family is constant
and the remaining varies with the price of wheat. When
the price of wheat is ₹250 per quintal, the total
monthly expenses are ₹1000, and when it is ₹240 per
quintal, the total monthly expenses ₹980 per quintal.
Then, the total monthly expenses of the family when
the cost of wheat is ₹350 per quintal will be __________
10) Find the solution to the following system of
equations:
ax + by - a + b = 0
bx - ay - a - b = 0
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1) x=14, y=-6
2)
x=12
y=-6
3)
x=11
y=-9
4)
x=11
y=4
5)
x=3
y=-1
6) 5
7) 34
8)
70
9) 1200
10)
x=1
y=1
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1) Most fields of mathematics and
applied mathematics often used
linear equations.
2)
Sir William Rowan Hamilton
was the inventor of linear
equations in 1843. He was
an
Irish mathematician. He passed
away in 1865.
3)
Linear equation has a closer
relationship with linear
algebra.
The latter one
highlights the linear equation
and relationship of variables.
