Question

Solve Graphically 4x-y=4 and 3x+2y=14

Answer 1

Answer:

for graph plz refere the picture

Given:-

$4x - y = 4 \: \: \: \: ..........(1) \\ 3x + 2y = 14 \: \: \: \: .......(2)$

To find:-

• plot on the graph

Solution:-

let consider the value of x be 0 , 1 , and 2 and then we will find for value of y

$4x - y = 4 \\ \\ putx = 0 \: in \: equation \\ \\ 4 \times 0 - y = 4 \\ 0 - y = 4 \\ - y = 4 \\ y = - 4 \\ \\ now \: put \: x = 1 \\ \\ 4 x - y = 4 \\ 4 \times 1 - y = 4 \\ 4 - y = 4 - y = 4 - 4 \\ y = 0 \\ \\ now \: put \: x = 2 \\ \\ 4x - y = 4 \\ 4 \times 2 - y = 4 \\ 8 - y = 4 \\ - y = 4 - 8 \\ - y = - 4 \\ y = 4 \\ \\ now \: for \: 2nd \: eqution \: \\ let \: \: consider \: x \: be \: 1 \: \: 2 \: \: \: and \: 3 \\ \\ 3x + 2y = 14 \\ \\ put \: x = 1 \\ \\ 3 \times 1 + 2y = 14 \\ 3 + 2y = 14 \\ 2y = 14 - 3 \\ 2y = 11 \\ y = \frac{11}{2} \\ y = 5.5 \\ \\ now \: put \: x = 2 \\ \\ 3x + 2y = 14 \\ \\ 3 \times 2 + 2y = 14 \\ 6 + 2y = 14 \\ 2y = 14 - 6 \\ 2y = 8 \\ y = \frac{8}{2} \\ y = 4 \\ \\ now \: put \: x = 3 \\ \\ 3x + 2y = 14 \\ 3 \times 3 + 2y = 14 \\ 9 + 2y = 14 \\ 2y = 14 - 9 \\ 2y = 5 \\ y = \frac{5}{2} \\ y = 2.5$

now put all this point on graph paper

for table n graph

plzz refere to picture.....