Question

slove 3x+7y and 7x+3y=48 graphically​

Answer 1

Answer:

Given equations are,

3x+7y=32 .....(1)

and 7x+3y=48 .....(2)

Step 1: Adding both the equations, we get

10x+10y=80

⇒10(x+y)=10×8

⇒x+y=8 .....(3)

Step 2: Subtracting equation (1) from equation (2),

(7x+3y)−(3x+7y)=48−32

⇒4x−4y=16

⇒4(x−y)=4×4

⇒x−y=4 .......(4)

Step 3: Adding equations (3) and (4), we get

x+y+x−y=12

⇒2x=12

⇒x=6

Substituting x=6 in any of the equations (1), we get y=2

∴ the solutions of the pair of equations is x=6 and y=2.

Step-by-step explanation:

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