Question

If 5x - 2y = 6 and 3x + 2y = 10, then find the value of x and y.​

Answer 1

X= 2

Y= 2

Explanation:

Answer 2

Explanation:

`\textsf{\large{\underline{Solution}:}}`

Given Equations:

→ 5x - 2y = 6 ----- (i)

→ 3x + 2y = 10 ---- (ii)

Adding (i) and (ii), we get:

→ 8x = 16

→ x = 16/8

→ x = 2

Substituting the value of x in (i), we get:

→ 5 × 2 - 2y = 6

→ -2y = 6 - 10

→ -2y = -4

→ y = -4/-2

→ y = 2

Therefore:

→ (x, y) = (2, 2) (Answer)

`\textsf{\large{\underline{Verification}:}}`

Put x = 2 and y = 2 in first equation, the LHS becomes:

= 5 × 2 - 2 × 2

= 10 - 4

= 6

= RHS

Put x = 2 and y = 2 in second equation, the LHS becomes:

= 3 × 2 + 2 × 2

= 6 + 4

= 10

= RHS

Hence, our answer is correct (Verified)