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Lesson Example Discussion Quiz: Class Homework

Step-5

Title: Linear Equations with Two Variables

Grade: 10-a Lesson: S1-L2

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Find the values of x and y that make both equations true: 3x - 2y = 1 and 4x + y = 5.
2	Step	The given equation - 1 is	3x - 2y = 1
3	Step	The given equation - 2 is	4x + y = 5
4	Step	When equation - 2 is doubled, it becomes equation - 3	8x + 2y = 10
5	Step	Add equation - 3 and equation - 1	8x + 2y = 10 3x - 2y = 1
6	Step	After simplification	11x - 0 = 11
7	Step	Solve for x value	11x = 11 x = 1
8	Step	Plug the x value in equation - 2, then slove for y value	4 + y = 5 y = 1
9	Choice.A	This option is incorrect because x should be 1, not 2, and y is correct	x = 2 and y = 1
10	Choice.B	This choice is correct because both x and y values match the solution	x = 1 and y = 1
11	Choice.C	This option is incorrect because x should be 1, not 3, and y should be 1, not 2	x = 3 and y = 2
12	Choice.D	This option suggests the solution is x=4 and y=5. After solving the system of equations, we found that x=1 and y=1. Therefore, this option is incorrect	x = 4 and y = 5
13	Answer	Option	B
14	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Find the values of x and y that make both equations true:
3x - 2y = 1 and 4x + y = 5.

Step

The given equation - 1 is

3x - 2y = 1

Step

The given equation - 2 is

4x + y = 5

Step

When equation - 2 is doubled, it becomes equation - 3

8x + 2y = 10

Step

Add equation - 3 and equation - 1

8x + 2y = 10
3x - 2y = 1

Step

After simplification

11x - 0 = 11

Step

Solve for x value

11x = 11
x = 1

Step

Plug the x value in equation - 2, then slove for y value

4 + y = 5
y = 1

Choice.A

This option is incorrect because x should be 1, not 2, and y is correct

x = 2 and y = 1

Choice.B

This choice is correct because both x and y values match the solution

x = 1 and y = 1

Choice.C

This option is incorrect because x should be 1, not 3, and y should be 1, not 2

x = 3 and y = 2

Choice.D

This option suggests the solution is x=4 and y=5. After solving the system of equations, we found that x=1 and y=1. Therefore, this option is incorrect

x = 4 and y = 5

Answer

Option

Sumup

Can you summarize what you’ve understood in the above steps?