Linear Equations in One Variable Test

Result

Linear Equations in One Variable Test - 3

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Weekly Quiz Competition

Question 1
1 / -0

The value of x for the equation 3(x + 3) = 5(x - 5) also satisfies the equation

A
2x + 17 = 0

B
x + 17 = 0

C
x - 17 = 0

D
2x - 17 = 0

Solution

3(x + 3) = 5(x - 5)

3x + 9 = 5x - 25

3x - 5x + 9 = 5x - 25 - 5x [Subtracting 5x from both the sides]

-2x + 9 = -25

-2x = -25 - 9 [Transposing 9 to R.H.S.]

-2x = -34

x = 17 [Dividing throughout by 2]

x - 17 = 0 [Transposing 17 to L.H.S.]
Question 2
1 / -0

The linear equation 2x - 5 = 3x + 4 can be written as

A
5 = 2x + 4

B
-2x + 10 = 8

C
2x = -18

D
-5 = -5x + 4

Solution

2x - 5 = 3x + 4

Transposing 2x to R.H.S. and 4 to L.H.S.,

-5 - 4 = 3x - 2x

-9 = x

x = -9

2x = -18 (Multiplying both sides by 2)