If x - 12y = -210 and x - 6y = 90, then x =

Solution:

The given equations are

x - 12y = -210 --- (1)

x - 6y = 90 --- (2)

Equation (2) can be written as

⇒ x = 90 + 6y

Substituting it in equation (1)

⇒ 90 + 6y - 12y = - 210

⇒ -6y = -210 - 90

By further calculation

⇒ -6y = - 300

Dividing both sides by -6

⇒ y = 50

Substituting the value of y in equation (2)

⇒ x - 6(50) = 90

⇒ x - 300 = 90

⇒ x = 90 + 300

⇒ x = 390

Therefore, x = 390.

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If x - 12y = -210 and x - 6y = 90, then x =

Summary:

If x - 12y = -210 and x - 6y = 90, then x = 390.