Q4. Which of the following pairs of linear equations are consistent/inconsistent? If consistent, obtain the solution graphically:
(iii)
Given, Equations,
Comparing these equations with , we get
As we can see
It means the given equations have exactly one solution and thus pair of linear equations is consistent.
Now The points(x, y) satisfying the equation are,
X | 0 | 2 | 3 |
Y | 6 | 2 | 0 |
And The points(x,y) satisfying the equation are,
X | 0 | 1 | 2 |
Y | -2 | 0 | 2 |
GRAPH:
As we can see both lines intersects at point (2,2) and hence the solution of both equation is x = 2 and y = 2.