Linear Equation | MCQs

Explanation

Let's denote the man's present age as x.

(x + 5) * 3 = 84

x + 5 = 84 / 3

x + 5 = 28

x = 28 - 5

x = 23

Explanation

Let's check each pair in the equation:

2x + 3y = 24

{6, 4} → 2(6) + 3(4) = 12 + 12 = 24 ✓

{12, 0} → 2(12) + 3(0) = 24 + 0 = 24 ✓

{0, 8} → 2(0) + 3(8) = 0 + 24 = 24 ✓

{9, -2} → 2(9) + 3(-2) = 18 - 6 = 12 ✗

Explanation

Solve the equation: 2x + 3 = 9 → 2x = 6 → x = 3.

The value of x = 3 satisfies the equation.

Explanation

Given 2x - 6 = 0:

2x = 6

x = 6/2 = 3

Explanation

To solve for x:

x/2 + 1 = 15

Subtract 1 from both sides:

x/2 = 14

Multiply both sides by 2:

x = 28

Explanation

Given the equation: 8x - 3y = 24

Substitute y = 0:

8x - 3(0) = 24 → 8x = 24

Solve for x:

x = 24 ÷ 8 = 3

Explanation

2x + 9x = 11

Combine like terms:

11x = 11

Divide both sides by 11:

x = 1

So, the value of 'X' is 1.

Explanation

Let's solve the equation:

2(x - 2) - 5(x - 5) = 4(x - 8) - 2(x - 2)

Expanding both sides:

2x - 4 - 5x + 25 = 4x - 32 - 2x + 4

Combine like terms:

-3x + 21 = 2x - 28

Add 3x to both sides:

21 = 5x - 28

Add 28 to both sides:

49 = 5x

Divide by 5:

x = 49/5

Explanation

Given equation:

0.5x + 1.1 = 2.3

Step-by-step:

Subtract 1.1 from both sides:

0.5x = 2.3 - 1.1 = 1.2

Divide both sides by 0.5:

x = 1.2 ÷ 0.5 = 2.4

Explanation

 We know A + B = 12.

We also know A + B + C = 8.

Substitute the value of A + B into the second equation: 12 + C = 8.

Solve for C: C = 8 - 12 = -4.