Question

what is the value of two
two simultaneous
equation x+y = 2
3x + 3y-5=0​

Answer 1

Answer:

x+y=2-(i)

3x+3y-5=0

3x+3y=5-(ii)

Multiply equation 1 by 3

x+y=2

x3

_______

3x+3y=6-(iii)

subtracting equation 1 and 3

3x+3y=5

-3x-3y=-6

_________

Step-by-step explanation:

this cannot be solve ahead

Answer 2

Given Equations:

x + y = 2 →→→→→→→→→ (Equation 1)

3x + 3y - 5 = 0 →→→→→ (Equation 2)

Observation:

In Equation 1; multiple of 'x' is 1. But in Equation 2, multiple of 'x' is 3.

So, Multiply Equation 1 with 3 on both the sides so that its value doesn't change.

(x + y = 2) × 3 ⇒ 3x + 3y = 6 →→→→→ (Equation 3)

Equation 2 can also be written as: 3x + 3y = 5 →→→→→ (Equation 4)

Observe equations 3 and 4:

3x + 3y = 6 → (This is of the form a₁x + b₁y = c₁ where a₁ = 3, b₁ = 3, c₁ = 6)

3x + 3y = 5 → (This is of the form a₁x + b₁y = c₁ where a₁ = 3, b₁ = 3, c₁ = 5)

$\bf{Since \: \dfrac{a1}{a2} = \dfrac{b1}{b2} \neq \dfrac{c1}{c2}}$   ;

• The above given 2 equations can only be solved by Graphical method where we get 2 parallel lines.
• Hence, value of x and y cannot be determined.
• The above given 2 equations have 'No Solution.'