Question

For which equation is (4, 3) a solution?

1. y = 2x – 1
2. y = 3x – 4
3. y = 2x – 5
4. y = x + 3

Answer 1

Answer:

Equation 3 :- ( y = 2x - 5 )

Step-by-step explanation:

Solution: ( 4,3 )

Now if we substitute the values in the given equations we get to know the original equation.

Equation 1: y = 2x - 1

Substituting y = 3 and x = 4 we get,

⇒ 3 = 2 ( 4 ) - 1

⇒ 3 = 8 - 1 = 7

But we know 3 ≠ 7. Hence it is not the solution of Equation 1.

Equation 2: y = 3x - 4

⇒ 3 = 3 ( 4 ) - 4

⇒ 3 = 12 - 4

⇒ 3 = 8

But we know that 3 ≠ 8. Hence it is not the solution of Equation 2.

Equation 3: y = 2x - 5

⇒ 3 = 2 ( 4 ) - 5

⇒ 3 = 8 - 5

⇒ 3 = 3

Since LHS = RHS, we can say that ( 4,3 ) is the solution of Equation 3.

Equation 4: y = x + 3

⇒ 3 = 4 + 3

⇒ 3 = 7

This is not true. Hence it is not the solution of Equation 4.

Hence the given pair is only a solution of Equation 3: ( y = 2x - 5 ).

Thanks !!

Answer 2

Solution:-

Taking x = 4 and y = 3.

1. y = 2x - 1.

L.H.S. = 3

R.H.S. => 2×4 -1 = 7.

7 is not equal to 3.

Therefore, (4,3) is not the solution for y = 2x -1.

2. y = 3x - 4

=> L.H.S. = 3

R.H.S. = 12 -4 = 8.

8 isn't equal to 3.

Therefore, (4,3) is not the solution for y = 3x -4.

3. y = 2x -5

L.H.S. = 3.

R.H.S. = 8 - 5 = 3.

(4,3) is the solution for y = 2x - 5.

4. y = x + 3

L.H.S = 3

R.H.S. = 4 + 3 = 7

7 is not equal to 3.

Therefore, (4,3) is not the Solution for y = x +3.

Hence, (4,3) is the Solution for y = 2x - 5.