Testing Solutions

Is (1, 2) a solution to the linear equation 2x + 5y = 12?

• Yes

• No

Select all of the points that are solutions to the linear equation 5x + 8y = 40.

• (8, 0)

• (4, 2)

• (0,5)

• (1, 6)

Select all of the points that are solutions to the equation x + 4y = 20.

• (10, 2.5)

• (0, 5)

• (2, 10)

• (5, 3)

Given the equation 3x + y = 5 and x =1, what is the value of y?

• 1

• 2

• 3

• 4

Is (1, 6) a solution to this inequality?

• Yes

• No

Is (-1, 0) a solution to this inequality?

• Yes

• No

Identify the option having two correct solutions for the equation 5x + 4y = 20

• (2,1) and (3,2)

• (1, 4) and (3,1)

• (0, 5) and (4, 0)

• (4, 3) and (3, 0)

Answer explanation

5x + 4y = 20 On taking (x = 0, y = 5), L.H.S = 5(0) + 4(5) = 20 = R.H.S On taking (x = 4, y = 0), L.H.S = 5(4) + 4(0) = 20 = R.H.S Therefore, (0, 5) and (4, 0) are two solutions of the given linear equation in two variables.

Tell whether the ordered pair 
(-3, 0) is a solution of the given system.
y ≤ x + 4
y ≥ 2x - 6

• Yes

• No

Which of the following is a solution of the pair of equation, 3x + 2y = 20 and 6x - 5y = 4 ( 1 mark )

• x = 2 , y = 1

• x = 4 , y = 4

• x = 6 , y = 7

• x = 5 , y = 3

Test if point (-1, 4) is a solution to the system:

x= 7 - 2y

2x + y = 5

​ ​ (a)   = 7 - 2 * ​( (b)   )

2* (​ (c)   ) + ​ (d)   = 5

• -1

• 4

• -4

• 1