Two Equations, One Answer: Order of Ideas

Read about systems of equations, then put its ideas in the order the passage gives them.

Story Brief #308

A system of equations consists of two or more equations that share the same variables.

🎯 Your mission

Read carefully. Then prove you understood.

⚡ The twist

Slow down. The first answer that pops up isn't always the right one.

📖 1 of 2

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.

📖 2 of 2

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.

Question 1

1 of 2

Which of these ideas comes first in the passage?

How sure are you going to be?😐 maybe

Question 2

2 of 2

What comes right after this sentence: “Thus, x = 4.”

How sure are you going to be?😐 maybe

Nice work!

You got 0 of 2 right.

Next: The Rule of the Right Triangle: Order of Ideas All lessons

🎯

Next Smart Lesson

We'll pick a lesson that matches exactly how well you're reading right now.

✨ More to explore

🏆 Try this week: Read for 10 minutes today — anything you want.

👨‍👩‍👧 At dinner: “What's one thing you read today that surprised you?”

📄Share card

Share this lesson

Send it to a parent or fellow reader. 5 minutes is all it takes.

Two Equations, One Answer: Order of Ideas

Question 1

Question 2

Next Smart Lesson

Share this lesson

Two Equations, One Answer: Order of Ideas

Done with reading? Try something else

Your Cart (0)