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Lesson 233 of 500 · Extra Passages
⭐ 30 XPSystems of Equations Part 4
📖Story Brief #233
A system of equations consists of two or more equations that share the same variables.
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A system of equations consists of two or more equations that share the same variables. Solving these systems helps find the values of the variables that satisfy all equations at once. For example, consider the equations: 2x + y = 10 and x - y = 2. To solve this system, you can use either the substitution method or the elimination method. In substitution, you can solve the second equation for y, giving y = x - 2, and then substitute this expression into the first equation. This leads to 2x + (x - 2) = 10. Simplifying this gives 3x - 2 = 10, which means 3x = 12. Thus, x = 4. Plugging x back into y = x - 2 gives y = 2. Therefore, the solution to the system is x = 4 and y = 2, meaning both equations are satisfied with these values.
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Question 1
1 of 2What is a system of equations?
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