Pair of Linear Equations_Term-1

INDIAN SCHOOL AL WADI AL KABIR 2016- 17
Dept. of Mathematics
Class: X
Topic: LINEAR EQUATIONS
Home Assignment - Set 1
1
2
Draw the graph of the equations x – y + 1= 0 and 3x + 2y – 12 =0.
Determine the co-ordinates of vertices of the triangle formed by
these lines and the x-axis and shade the triangular region. Calculate
the area of triangle so formed.
Ans
Using elimination method ,solve the following pairs linear
equations:
x=
80,
π‘₯
10
3
4
Date: 24-04-16
𝑦
π‘₯
𝑦
5
8
6
+ + 1 = 15 and + = 15
7.5
sq.
units
y=30
Solve for x and y:(Substitution method)
x = 5,
0.4x – 1.5y = 6.5;
y = -3
0.3x + 0.2y = 0.9
Five years ago, A was 3 times as old as B. Ten years later, A shall be 50
twice as old as B. Find their present ages.
yrs,
20 yrs
5
Check whether the following pairs of linear equations has unique
solution, no solution or infinitely many solutions.
(1) x – y = 8, 3x – 3y = 16 (2) x – 3y – 7 = 0, 3x – 3y – 15 = 0