McGraw Hill Math Grade 8 Lesson 13.5 Answer Key Equations with Infinite or No Solutions

Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Lesson 13.5 Equations with Infinite or No Solutions to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 8 Answer Key Lesson 13.5 Equations with Infinite or No Solutions

Exercises

SOLVE

Write “infinite” if the equation has an infinite number of solutions. Write “No solution” if the equation cannot be solved.

Question 1.
0 = -2x + 2x
Answer:
Infinite solutions,

Explanation:
Given to find the solution for equation
0 = – 2x + 2x, So adding 2x both sides 2x = 2x,
x = x , therefore what ever number I substitute
the equation is true, therefore this equation has
infinite solutions.

Question 2.
4x – 7 = 21
Answer:
finite solution,

Explanation:
Given to find the solution for equation
4x – 7 = 21,
4x = 21 + 7,
4x = 28,
x = 28 ÷ 4 = 7, So equation has finite solution.

Question 3.
6 = x + 2 – x
Answer:
No solution,

Explanation:
Given to find the solution for equation
6 = x + 2 – x,
6 = 2 means this is not true, So equation
has no solutions.

Question 4.
3x + 2 – 3x = 7
Answer:
No solution,

Explanation:
Given to find the solution for equation
3x + 2 – 3x = 7,
2 = 7 means this is not true, So equation
has no solutions.

Question 5.
5x + 4 – 5x = 4
Answer:
Infinite solutions,

Explanation:
Given to find the solution for equation
5x + 4 – 5x = 4,
4 = 4, therefore what ever number I substitute
the equation is true, therefore this equation has
infinite solutions.

Question 6.
8x – 24 = 0
Answer:
finite solution,

Explanation:
Given to find the solution for equation
8x – 24 = 0,
8x = 24,
x = 24 ÷ 8 = 3,
So equation has finite solution.

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