Question

please answer with step by step explanation and I will mark you as brainliest.​

Answer 1

Answer:

• x = 1/2
• y = 1/3

Step-by-step explanation:

Given equations:

• 2x + 3y = 2                   ----- [Equation 1]
• 5x + 4y = 3 ⅚ = 23/6 ----- [Equation 2]

Multiply the second equation by 6

   6 (5x + 4y) = 6 (23/6)

⇒ 30x + 24y = 23      ----- [Equation 3]

In order to eliminate the "y" term multiply equation 1 by 8

8 (2x + 3y) = 8 (2)

⇒ 16x + 24y = 16    ----- [Equation 4]

Now, [Equation 3] - [Equation 4]

                   30x + 24y = 23

              {-}  16x + 24y = 16  

                    14x = 7

⇒ x = 1/2

Substitute the value of x in Equation 1 to find out the value of y.

   2x + 3y = 2

⇒ 2(1/2) + 3y = 2

⇒ 1 + 3y = 2

⇒ 3y = 2 - 1

⇒ 3y = 1

⇒ y = 1/3

∴ x = ½ and y = ⅓