# Video: Writing and Solving Two-Step Linear Equations in a Geometric Context

Find the value of π given the following information: π is on the line between π and π. ππ = 24 cm. ππ = 8π cm. ππ = 88 cm.

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### Video Transcript

Find the value of π given the following information: π is on the line between π and π. ππ equals 24 centimeters, ππ equals eight π centimeters, and ππ equals 88 centimeters.

We can begin this question by drawing the line ππ on which π lies. Weβre told that ππ equals 24 centimeters, ππ equals eight π centimeters, and the length of the whole line ππ is 88 centimeters. The length from ππ plus the length from ππ is equal to the total distance from π to π. As all of our measurements are in centimeters, this can be written as an equation. 24 plus eight π is equal to 88. We can then solve this equation to calculate the value of π. We begin by subtracting 24 from both sides. As 88 minus 24 is equal to 64, we have eight π equals 64. We can then divide both sides of this new equation by eight. This gives us the value of π equal to eight.

We can check this by substituting this value back in. From the line above, we actually know that eight π is equal to 64. This means that the length of the line from π to π is 64 centimeters. As 24 centimeters plus 64 centimeters equals 88 centimeters, our answer is correct.