Question

Solve the following pair of equation graphically: 4x-y=4 and 3x+2y=14
(Class 10 Maths Sample Question Paper)

Answer 1

Given :

4 x - y = 4…………( eq. 1)
3 x + 2 y= 14………..( eq. 2)

From eq 1
y = 4 x - 4

Put x= 0
y = 4 × 0 - 4
y = 0 - 4
y = -4

Put x= 1
y = 4 x 1 - 4
y= 4 - 4
y= 0

Put x = 2
y = 4 x - 4
y = 4 × 2 - 4
y = 8 - 4
y = 4

Table 1
X | 0 | 1 | 2 |
Y | -4 | 0 | 4 |

From eq 2
y =( 14 - 3x )/ 2

Put x= 0
y = (14-3×0)/2= (14 - 0)/2= 14/2 = 7
y = 7

Put x=2
y = (14-3×2)/2= (14 - 6)/2= 8/2 = 4
y = 4

Put x= 4
y = (14-3×4)/2= (14 - 12)/2= 2/2 = 1
y = 1

Table 2
X | 0 | 2 | 4 |
Y | 7 | 4 | 1 |

Make graph from table 1 & 2
[GRAPH IS IN THE ATTACHMENT]

As (2,4) is common , therefore solution is (2,4).

HOPE THIS WILL HELP YOU...

Answer 2

From graph point of intersection is (2,4).
So the solution is x=2 and y=4

The graph is attached here....Hope this will enough and helpful to u...Plz if u got the answer crct then mark it as brainliest... Plz