Question Video: Finding the Unknown in a Problem Involving a Point Satisfying a Given Relation | Nagwa Question Video: Finding the Unknown in a Problem Involving a Point Satisfying a Given Relation | Nagwa

# Question Video: Finding the Unknown in a Problem Involving a Point Satisfying a Given Relation Mathematics • Second Year of Preparatory School

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Given that (1, π) satisfies the relation π¦ β 4π₯ = 7, find the value of π.

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### Video Transcript

Given that one, π satisfies the relation π¦ minus four π₯ equals seven, find the value of π.

We have the relationship π¦ minus four π₯ equals seven, and weβre told that the coordinate one, π satisfies this relationship. If we plug in one, π, the statement will be true. This coordinate form is π₯ and then π¦. And that means in this equation, weβll plug in one for π₯ and π for π¦. Weβll bring everything else down and have a statement that says π minus four times one equals seven.

To solve for this, first, weβll multiply four times one, which is four. Weβll then have π minus four equals seven. To isolate π, we add four to both sides of the equation, and we get that π equals 11. This means that the coordinate one, 11 satisfies this equation.

We might wanna quickly check and see if thatβs true, where we ask, is 11 minus four times one equal to seven? 11 minus four does equal seven, which confirms the coordinates one, 11. And so, the π-value is 11.

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