Question

1) Solve the equation 3x-2y = 20 : x+3y = 14.​

Answer 1

Answer:Given⤵

➡3x-2y= 20 and x+3y = 14.

To find⤵

➡Solution of equation.

Solution⤵

⚫Let the equation

3x-2y=20 ...(i)

x+3y=14 ...(ii)

⚫Multiply by 3 in equation (ii), we get

3x+9y=42 .... (iii)

⚫Subtracting equation (i) from (iii), we get

3x+9y=42

3x-2y=20

11y=22

y= 22/11

y= 2

⚫Now substituting value y= 2 in equation (i) , we get

➡3x-2×2=20

➡3x-4=20

➡3x=20+4

➡3x=24

➡x=24/3

➡x=8

✅Hence, the solution is x=8 and y= 2 or (8, 2).

Verification⤵

➡3x-2y= 20 and x+3y= 14

⚫Substituting the value of x=8 and y=2, we get

➡3×8-2×2=20 and 8+3×2=14

➡24-4=20 and 8+6=14

➡20=20 and 14=14

LHS=RHS LHS=RHS

Hope this is helpful to you!

Step-by-step explanation:

Answer 2

Answer:

y = 2 when x= 8

Step-by-step explanation:

i)$3x-2y=20$

When x = 8

$\Rightarrow 3(8) - 2y = 20$

$\Rightarrow 24 -2y=20$

$\Rightarrow 2y =20-24$

$\Rightarrow 2y = 4$

$\Rightarrow y = \frac{4}{2}$

$\Rightarrow y=2$