Respuesta :

Answer:

Step-by-step explanation:

4x + 3y = 6 -----------------(I)

4x - y =2 ---------------------(II)

Multiply (II) by (-1) and  then add

(I)                4x + 3y = 6

II) *(-1)        - 4x + y  = - 2   {Now add, x will be eliminated}

                         4y = 4

                           y= 4/4

y= 1

Plugin y =1 in equation (I)

4x +3*1 = 6

4x + 3 = 6

      4x = 6- 3

      4x = 3

        x = 3/4

Answer:

( [tex]\frac{3}{4}[/tex], 1 )

Step-by-step explanation:

Given the 2 equations

4x + 3y = 6 → (1)

4x - y = 2 → (2)

Subtract (2) from (1) term by term to eliminate x

4x - 4x + 3y - (- y) = 6 - 2, that is

4y = 4 ( divide both sides by 4 )

y = 1

Substitute y = 1 into either of the 2 equations and solve for x

Substituting into (1)

4x + 3(1) = 6

4x + 3 = 6 ( subtract 3 from both sides )

4x = 3 ( divide both sides by 4 )

x = [tex]\frac{3}{4}[/tex]

solution is ( [tex]\frac{3}{4}[/tex], 1 )