Identifying Solutions to a Linear Equation

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

Tags

CCSS.8.EE.C.8B

What is the solution to the system?

• (-2, 2)

• (2, 2)

• (2, -2)

• (-3, 1)

Tags

CCSS.8.EE.C.8B

^{What is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)

Tags

CCSS.8.EE.C.8B

This system has _____ solutions

• no

• 1

• 2

• Infinitely many

Tags

CCSS.8.EE.C.8B

Check which of the following options is not the solution of the equation: 2x – y = 6

• (2, 4)

• (3, 0)

• (7/2,1)

• (2, -2)

Answer explanation

2x - y = 6 Taking (x = 2, y = 4) L.H.S = 2(2) - 4 = 0 ≠ R.H.S Therefore, (2, 4) is not the correct solution of the equation 2x - y = 6 Options 2, 3 and 4 are the solutions of the equation 2x - y = 6

Check which of the following options is not the solution of the equation: 7x – 4y = 16

• (0, - 4)

• (16/7, 0)

• (5, 2)

• (2, -1/2)

Answer explanation

7x – 4y = 16 Taking (x = 5, y = 2) L.H.S = 7(5) - 4(2) = 27 ≠ R.H.S Therefore,(5, 2) is not the solution of the equation 7x – 4y = 16 whereas the remaining options are the solutions of this equation. Therefore option 3 is the correct answer.

Which of the following coordinate points represent solutions for the equation 2x + y = 0?

• 
• 
• 
• 

Answer explanation

The equation is 2x + y = 0 (1) Let's take x = 1 2(1) + y = 0 y = 0 - 2 y = -2 (2) Let's take x = 2 2(2) + y = 0 4 + y = 0 y = -4 (3) Let's take x = 10 2(10) + y = 0 20 + y = 0 y = -20 Hence, option 2 is the correct solution for 2x + y = 0

Check which of the following options is not the solution of the equation: 2x – y = 6

• (2, 4)

• (3, 0)

• (7/2,1)

• (2, -2)

Answer explanation

2x - y = 6 Taking (x = 2, y = 4) L.H.S = 2(2) - 4 = 0 ≠ R.H.S Therefore, (2, 4) is not the correct solution of the equation 2x - y = 6 Options 2, 3 and 4 are the solutions of the equation 2x - y = 6

x = 4, y = 6 is a solution of the linear equation

• x + 6 y = 10

• 4x + 6y = 10

• x + y = 10

• 4 x + y = 10

Answer explanation

Substituting x=4 and y=6 in option 1, LHS= 4 + 6(6) = 4 + 36 = 40 ≠ RHS Therefore, option 1 is incorrect Substituting x=4 and y=6 in option 2, LHS= 4(4) + 6(6) = 16 + 36 = 52 ≠ RHS Therefore, option 2 is incorrect Substituting x=4 and y=6 in option 3, LHS= 4 + 6 = 10 = RHS Therefore, option 3 is the correct answer. Substituting x=4 and y=6 in option 4, LHS= 4(4) + 6 = 16 + 6 = 22 ≠ RHS Therefore, option 4 is incorrect

Find which option is not a solution for the following equation: πy - x = 12

• (0, 12/π)

• (2, 16/π)

• (-12,0)

• (1, 13/π)

Answer explanation

Substituting x = 2 and y = 16/π in the equation, we get, L.H.S = π(16/π) - 2 = 14 ≠ R.H.S Therefore, (2, 16/π) is not a solution of the equation πy - x = 12