Question

Solve the following equations of linear equations 4x - y =4 , 3x +2y =14

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).

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Answer 2

Answer:

multiply equation 1nd by 2

(4x-y=4)2

=8x-2y=8. eq 3

add eq 2and 3

3x+2y=14

+

8x-2y=8

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11x =22

x. =22÷11

x. =2

_____

put x=2 in eq 1

so,4x-y=4

4(2)-y=4

8-y=4

-y=4-8

-y= -4

y= 4 and x=2

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