Question

if x+y=10 and x-y=12 then find x and y solve the example
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Answer 1

Answer:

X + y = 10 --------1

X - y. = 12----------2

solve using substitution method

X = 10 - y --------3

Substitute the value of X in eq. 2

10- y = 12

- y = 12 - 10

- y = 2

y =(- 2)

Substitute the value of y in eq. 3

X = 10 - y

X = 10 - (-2)

X= 10 + 2

X = 12

hence, the value of X = 12 and Y = (-2)

Answer 2

★ Given that,

• x + y = 10
• x - y = 12

★ Tip find,

• Values of x & y.

★ Let,

➡ x + y = 10 ..... (1)

➡ x - y = 12 ..... (2)

• Subtract (1) & (2). We get,

➠ 2x = 22

➠ x = 22/2

➠ x = 11

• Substitute value of x in (1)

➠ 11 + y = 10

➠ y = 10 - 11

➠ y = - 1

★ Verification,

• Substitute the values of x & y in (1), to get LHS = RHS

➠ 11 + (- 1)

➠ 11 - 1

➠ 10

Since, LHS = RHS.

Hence, it is verified.

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| ∴ x = 11 ; y = - 1 |

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