Question

Draw the graphs of the equation: 3x-2y = 4 and x+y-3-0 in the same graph and find the co-ordinates of the point where two lines intersect. make a graph and attach with the answer​

Answer 1

Given

• 3x-2y = 4
• x+y-3 =0

To Find

• Co-ordinates of the point where two lines intersect

Solution_

In Equation 3x-2y=4

• Put y= 1

${\sf ~~~\implies ~~~ 3x-2×1=4 }$

${\sf ~~~\implies ~~~ 3x-2=4 }$

${\sf ~~~\implies ~~~ 3x=6 }$

${\sf ~~~\implies ~~~ x=2 }$

$~~~~~~~~~~~~~~~~~\pink{\begin{gathered}~~~~~\sf{\begin{array}{ | c | c | c | c | }\hline \sf x & 2 & 0 &-2\\\hline \sf y & 1 &-2&-5 \\ \hline \end{array}}\end{gathered}}$

• Put x=0

${\sf ~~~\implies ~~~ 3 \times 0-2y=4 }$

${\sf ~~~\implies ~~~ 2y= - 4 }$

${\sf ~~~\implies ~~~ y= - 2 }$

• Put x = -2

${\sf ~~~\implies ~~~ 3 \times - 2-2y=4 }$

${\sf ~~~\implies ~~~ - 6-2y=4 }$

${\sf ~~~\implies ~~~ -2y=10 }$

${\sf ~~~\implies ~~~ y= - 5 }$

______________

In Equation x+y-3=0

• Put x = 1

${\sf ~~~\implies ~~~ 1 + y - 3=0 }$

${\sf ~~~\implies ~~~ y - 2=0 }$

${\sf ~~~\implies ~~~ y =2 }$

$~~~~~~~~~~~~~~~~~\pink{\begin{gathered}~~~~~\sf{\begin{array}{ | c | c | c | c | }\hline \sf x & 1&2&3\\\hline \sf y & 2&1&0\\ \hline \end{array}}\end{gathered}}$

• Put x = 2

${\sf ~~~\implies ~~~ 2+ y - 3=0 }$

${\sf ~~~\implies ~~~ y - 1=0 }$

${\sf ~~~\implies ~~~ y =1 }$

• Put x = 3

${\sf ~~~\implies ~~~ 0+ y - 3=0 }$

${\sf ~~~\implies ~~~ y - 3=0 }$

${\sf ~~~\implies ~~~ y =3 }$

• Therefore the coordinates of the point where the two graph lines intersect is A(2,1)

Answer 2

Answer:

Sry yrrr...main kha rudely krta baat...main bss busy rehta ajj kal jyada