Question

Draw graph of 5x - 4y + 8 & 7x + 6y - 9 ​

Answer 1

EXPLANATION.

Graph of equation,

(1) = 5x - 4y + 8 = 0.

(2) = 7x + 6y - 9 = 0.

From the graph,

(1) = 5x - 4y + 8 = 0.

Put the value of x = 0 in equation, we get.

⇒ 5(0) - 4y + 8 = 0.

⇒ 0 - 4y + 8 = 0.

⇒ 4y = 8.

⇒ y = 2.

Their Co-ordinates = (0,2).

Put the value of y = 0 in equation, we get.

⇒ 5x - 4(0) + 8 = 0.

⇒ 5x - 0 + 8 = 0.

⇒ 5x = -8.

⇒ x = -1.6.

Their Co-ordinates = (-1.6,0).

(2) = 7x + 6y - 9 = 0.

Put the value of x = 0. in equation, we get.

⇒ 7(0) + 6y - 9 = 0.

⇒ 0 + 6y - 9 = 0.

⇒ 6y = 9.

⇒ y = 1.5.

Their Co-ordinates = (0,1.5).

Put the value of y = 0 in equation, we get.

⇒ 7x - 6(0) - 9 = 0.

⇒ 7x - 0 - 9 = 0.

⇒ 7x = 9.

⇒ x = 1.286.

Their Co-ordinates = (1.286,0).

Answer 2

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➩ $\large\underline{\red{\sf \orange{\bigstar} .}}$5x-4y+8=0 be equation 1st 

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➩ $\large\underline{\red{\sf \orange{\bigstar} .}}$7x+6y-9=0 be equation 2nd

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☯ solve these two equations to find the intersection point of these two equation

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➩$\large\underline{\red{\sf \pink{\bigstar} .}}$ 5x-4y=-8 be equation 1st

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➩ $\large\underline{\red{\sf \pink{\bigstar} .}}$7x+6y=9 be equation  2nd

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☯ multiply 1st equation by 3 and multilply 2nd equation by 2 to gey the coefficient of y equal i am using elimination method to solve x and y 

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➩$\large\underline{\red{\sf \blue{\bigstar} .}}$ 5x(3) -4y(3) = -8×3

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➩ $\large\underline{\red{\sf \red{\bigstar} .}}$7x(2)+6y(2)  =  9×2

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➩$\large\underline{\red{\sf \blue{\bigstar} .}}$15x-12y=-24 equation 3rd

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➩ $\large\underline{\red{\sf \blue{\bigstar} .}}$14x+12y=18 equation 4th

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⚛ add these two equation ⚛

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• ➩ 15x+14x-12y+12y=-24+18

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• ➩29x=-6

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• ➩ $\large\underline{\red{\sf \green{\bigstar} .}}$x =-6/29 $\large\underline{\red{\sf \green{\bigstar} .}}$

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☯ substitute x=-6/29en equation 1st 5x-4y=-8

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• ➩ 5(-6/29)+-4y=-8

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• ➩4y=(30/29)-8

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• ➩ 4y=(30-29×8)/29

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• ➩ 4y=-202/29

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• ➩ 2y=-101/29

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• ➩ $\large\underline{\red{\sf \orange{\bigstar} .}}$y =-101/58 $\large\underline{\red{\sf \orange{\bigstar} .}}$

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we get the value of x and y now on representing these two line on graph i put 

these two lines intersect at point p point p is (-6/29,-101/58)

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✰ Note ✰

• Graph is in attachment!!

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