Identify Solutions to Linear Equations

Which equation has x = 9 as a solution?

• 4 + x = 12

• 5x = 45

• 2x = 20

• x + 7 = 26

Tags

CCSS.6.EE.B.5

Solve the equation and determine the number of solutions.

0.5(3x + 5) - 0.1(12x - 5) = 3(1 + 0.1x).

• zero solution

• one solutions

• infinite solutions

Tags

CCSS.8.EE.C.7A

Is -2 a solution to the equation?

3x + 2 = 8

• Yes

• No

Tags

CCSS.6.EE.B.5

• Yes

• No

Tags

CCSS.6.EE.B.5

Find the solution to the system of equations: 4x - 3y = 5 and 2x + 7y = 1

• x = 2, y = -1

• x = -1, y = 2

• x = 5, y = 3

• x = 3, y = 4

Tags

CCSS.HSA.REI.C.9

Determine the values of x and y that satisfy the equations: 6x + 2y = 14 and 3x - 5y = 1

• x = 3, y = 4

• x = 2, y = 5

• x = 1, y = 7

• x = 5, y = 2

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Is 4 a solution of 5x = 9?

The number 4 ​ (a)   a solution of the equation. 

The left side of the equation, ​ (b)   , and the right side of the equation, ​ (c)   , have ​ (d)   .

• is not

• 5 x 4

• 9

• different values

• the same values

• is

• 5 + 4

• 20

Tags

CCSS.6.EE.B.5

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

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.