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Lesson Example Discussion Quiz: Class Homework

Step-1

Title: Linear Equations with Two Variables

Grade: 1400-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: 2x - 3y = 4 and 5x + y = 10.
2	Step	The given equation - 1 is	2x - 3y = 4
3	Step	The given equation - 2 is	5x + y = 10
4	Step	Multiply equation - 2 by 3 to yield equation - 3	15x + 3y = 30
5	Step	Add the equation - 1 and equation - 3	15x + 3y = 30 2x - 3y = 4
6	Step	After simplification	17x + 0 = 34
7	Step	Find the x value	\$x = 34/17\$ x = 2
8	Step	Replace the x value in the equation - 1, then determine the corresponding y value	4 - 3y = 4 y = 0
9	Choice.A	This option suggests the solution is x = 2 and y = 0. After solving the system of equations, we found that x = 2 and y = 0, so this option is correct	x = 2 and y = 0
10	Choice.B	This option suggests the solution is x = 5 and y = −1. However, after solving the system of equations, we found that x = 2 and y = 0, so this option is incorrect	x = 5 and y = - 1
11	Choice.C	This option suggests the solution is x = − 2 and y = 4. After solving the system of equations, we found that x = 2 and y = 0, so this option is incorrect	x = - 2 and y = 4
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 = 0, so this option is incorrect	x = - 7 and y = 3
13	Answer	Option	A
14	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Solve the following system of equations: 2x - 3y = 4 and 5x + y = 10.

Step

The given equation - 1 is

2x - 3y = 4

Step

The given equation - 2 is

5x + y = 10

Step

Multiply equation - 2 by 3 to yield equation - 3

15x + 3y = 30

Step

Add the equation - 1 and equation - 3

15x + 3y = 30
2x - 3y = 4

Step

After simplification

17x + 0 = 34

Step

Find the x value

\$x = 34/17\$
x = 2

Step

Replace the x value in the equation - 1, then determine the corresponding y value

4 - 3y = 4
y = 0

Choice.A

This option suggests the solution is x = 2 and y = 0. After solving the system of equations, we found that x = 2 and y = 0, so this option is correct

x = 2 and y = 0

Choice.B

This option suggests the solution is x = 5 and y = −1. However, after solving the system of equations, we found that x = 2 and y = 0, so this option is incorrect

x = 5 and y = - 1

Choice.C

This option suggests the solution is x = − 2 and y = 4. After solving the system of equations, we found that x = 2 and y = 0, so this option is incorrect

x = - 2 and y = 4

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 = 0, so this option is incorrect

x = - 7 and y = 3

Answer

Option

Sumup

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