Solving Pair Of Linear Equation Graphically
Solving Pair Of Linear Equation Graphically
SOLVING PAIR OF LINEAR EQUATION GRAPHICALLY:
To find two numbers such that their sum is 35 and their difference is 5. We could indicate the problem algebraically by letting x represent one number and y the other. Thus, the probelm may be indicated by the two equations:
x + y = 33
x - y = 5
Our problem is to find one pair of values that will satisfy both equations. SUch a pair of values is said to a graphically solution of both equations at the sa,e time, or simultaneously . The two equations for which we seek a common solution are called simultaneous equations. The two equations, taken together, comprise a system of equations. Each of these equations represents a straight line on a graph.
Graphically solution of a system of a pair of linear equations in two variables is the coordinates of the point where the two lines intersect.
Example : Check whether the pair of equations
x + 3y = 6 ......(i)
and 2x - 3y = 12 ........(ii)
is consistent . If so, solve them graphically
SOLUTION:
Hence the given system of a pair of equation in two variable is consistent.
Let us draw the graphs of the equations (i) and (ii). For this, we find two solutions of each of the equations, which are given below in the table.
x + 3y = 6 2x - 3y = 12
| x | 0 | 3 |
| y | -4 | -2 |
| x | 0 | 6 |
| y | 2 | 0 |
Find the points A(0,2), B(6,0), P(0,-4) and Q (3, -2) graph paper, and join the points to form the lines AB and PQ.
Point B(6,0) common to both the lines AB and PQ. SO, the solution of the pair of linear equations is x = 6 and y = 0.
The pair of equations y = 0 and y = - 7 has ______________________ | |||
| Right Option : D | |||
| View Explanation | |||
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