# Calculate solution to system of equations

**URL:** <https://cl.desmos.com/t/calculate-solution-to-system-of-equations/3779>\
**Category:** Questions\
**Created:** [October 28, 2021, 8:52pm UTC](https://cl.desmos.com/t/calculate-solution-to-system-of-equations/3779 "2021-10-28T20:52:28Z")\
**Posts on this page:** 4\
**Page:** 1

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**Author:** ![rebecca.asr](https://avatars.discourse-cdn.com/v4/letter/r/898d66/32.png) [@rebecca.asr](https://cl.desmos.com/u/rebecca.asr)\
**Post date:** [October 28, 2021, 8:52pm UTC](https://cl.desmos.com/t/calculate-solution-to-system-of-equations/3779/1 "2021-10-28T20:52:28Z")

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Hi! Is it possible to pull the solution to a system of equations out of a graphing calculator, without manually looking at the graph to see the point of intersection?

I need it to plot a point at the intersection of lines that the students are generating.

Thanks!

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**Author:** ![Daniel\_Grubbs](https://yyz1.discourse-cdn.com/flex031/user_avatar/cl.desmos.com/daniel_grubbs/32/719_2.png) [@Daniel\_Grubbs](https://cl.desmos.com/u/Daniel_Grubbs)\
**Post date:** [October 28, 2021, 9:29pm UTC](https://cl.desmos.com/t/calculate-solution-to-system-of-equations/3779/2 "2021-10-28T21:29:35Z")

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You could use xyLine to define the slopes and y-intercepts for each line in the graph, then define your solution in the graph. Just realize that doing so may result in some rounding errors.

> **[Desmos | Graphing Calculator](https://www.desmos.com/calculator/v06fhystir)**

(I just solved y=m1x+b1 and y=m2x+b2)

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**Author:** ![cwinske](https://yyz1.discourse-cdn.com/flex031/user_avatar/cl.desmos.com/cwinske/32/3106_2.png) [@cwinske](https://cl.desmos.com/u/cwinske)\
**Post date:** [October 28, 2021, 10:22pm UTC](https://cl.desmos.com/t/calculate-solution-to-system-of-equations/3779/3 "2021-10-28T22:22:40Z")

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Daniel posted before I could finish, but [here was my approach](https://www.desmos.com/calculator/0cnqchtcuc). I’m not sure if you are just using the graphing calculator or if you wanted this in an activity, but it will work for both if you use the [function sink](https://teacher.desmos.com/computation-layer/documentation#component:input/graph:sink:function).

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**Author:** ![rebecca.asr](https://avatars.discourse-cdn.com/v4/letter/r/898d66/32.png) [@rebecca.asr](https://cl.desmos.com/u/rebecca.asr)\
**Post date:** [October 29, 2021, 12:54pm UTC](https://cl.desmos.com/t/calculate-solution-to-system-of-equations/3779/4 "2021-10-29T12:54:03Z")

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Thank you both! The combination of these two answers is what I needed.