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Lesson Example Discussion Quiz: Class Homework

Step-3

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	Solve the following system of equations: 5x - y = 11 and 3x + 2y = 4.
2	Step	The given equation - 1 is	5x - y = 11
3	Step	The given equation - 2 is	3x + 2y = 4
4	Step	Multiplying equation 1 by 2 produces equation 3	10x - 2y = 22
5	Step	Combine equation 1 and 3 into a single expression	10x - 2y = 22 3x + 2y = 4
6	Step	After simplification	13x + 0 = 26
7	Step	Find the x value	13x = 26 x = 2
8	Step	Replace the x value in the equation - 1, then solve for y	10 - y = 11 y = - 1
9	Choice.A	After solving the system of equations, we found x = 2 and y = −1. Therefore, this option is incorrect	x = 2 and y = 0
10	Choice.B	This option is incorrect as it doesn’t match the solutions we found x = 2 and y = − 1	x = 5 and y = - 1
11	Choice.C	This option suggests the solution is x = 2 and y = −1. After solving the system of equations, we indeed found that x = 2 and y = −1, so this option is correct	x = 2 and y = - 1
12	Choice.D	This option suggests the solution is x = −7 and y = 3. After solving the system of equations, we found that x = 2 and y = − 1. Therefore, this option is incorrect	x = -7 and y = 3
13	Answer	Option	C
14	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Solve the following system of equations:
5x - y = 11 and 3x + 2y = 4.

Step

The given equation - 1 is

5x - y = 11

Step

The given equation - 2 is

3x + 2y = 4

Step

Multiplying equation 1 by 2 produces equation 3

10x - 2y = 22

Step

Combine equation 1 and 3 into a single expression

10x - 2y = 22
3x + 2y = 4

Step

After simplification

13x + 0 = 26

Step

Find the x value

13x = 26
x = 2

Step

Replace the x value in the equation - 1, then solve for y

10 - y = 11
y = - 1

Choice.A

After solving the system of equations, we found x = 2 and y = −1. Therefore, this option is incorrect

x = 2 and y = 0

Choice.B

This option is incorrect as it doesn’t match the solutions we found x = 2 and y = − 1

x = 5 and y = - 1

Choice.C

This option suggests the solution is x = 2 and y = −1. After solving the system of equations, we indeed found that x = 2 and y = −1, so this option is correct

x = 2 and y = - 1

Choice.D

This option suggests the solution is x = −7 and y = 3. After solving the system of equations, we found that x = 2 and y = − 1. Therefore, this option is incorrect

x = -7 and y = 3

Answer

Option

Sumup

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