Question

HEY
$8x + 5y = 60\\ 5x + 5y = 30 \\ find \: x \: and \: y \:$
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Answer 1

Answer:

x=10 and y=-4

Step-by-step explanation:

5y=60-8x

5x+5y=30

5x-8x+60=30

-3x= -30

x=10

5y=60-8x

5y=60-8(10)

y= -20/5

y=-4

Answer 2

Given :

$\sf{8x+5y=60........(i)}$

$\sf{5x+5y=30........(ii)}$

To find :

• Value of x and y .

Solution :

$\sf{8x+5y=60........(i)}$

$\sf{5x+5y=30........(ii)}$

✪ Use elimination method ✪

8x+5y = 60

5x+5y = 30

(-) (-). (-)

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3x = 30

→x = 10

✪Now put the value of x = 10 in eq (ii)✪

$\sf{5x+5y=30}$

$\implies\sf{5\times\:10+5y=30}$

$\implies\sf{50+5y=30}$

$\implies\sf{5y=30-50}$

$\implies\sf{5y=-20}$

$\implies\sf{y=\frac{-20}{5}}$

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

${\boxed{\purple{\bold{x=10}}}}$

${\boxed{\purple{\bold{y=-4}}}}$

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Verification :

For verifying (i) and (ii) no. eq , put the value of x and y in (i) and (ii) no. eq.

• x = 10
• y = -4

★Take eq (i)

8x+5y = 60

→8×10+5×(-4)=60

→80-20=60

→ 60=60 ( Verified )

★ Take eq (ii)

5x+5y=30

→5×10+5×(-4)=30

→50-20=30

→30=30 ( Verified )

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