Question

solve the following by elimination method X+3y=10,4x+5y=19 answer completely .​

Answer 1

x = 1
y = 3
Refer to the attached img for the detailed solution :)

Answer 2

Answer:

X+3y=10,4x+5y=19

Step-by-step explanation:

solving the following pair of simultaneous linear equations by elimination method:

Equation 1:     x + 3y = 10

Equation 2:     4x + 5y = 19

Step 1: Multiply each equation by a suitable number so that the two equations have the same leading coefficient. An easy choice is to multiply Equation 1 by 4, the coefficient of x in Equation 2,    

4 * (Eqn 1) --->   4* (x + 3y) = 10

--->    4x + 12y = 40  

(Eqn 2) --->  4x + 5y = 19    

2    Both equations now have the same leading coefficient = 4

 Step 2: Subtract the second equation from the first.

          (4x + 12y)-(4x+5y)  = 40-19

          12y-5y= 21

           7y=21

                   

Step 3: Solve this new equation for y.

 7y=21

                 y = 21/7

=> y= 3  

Step 4: Substitute y = 3 into either Equation 1 or Equation 2 above and solve for x. We'll use Equation 1.

X+3y=10

    X+3(3)=10      x +9 = 10  

        x  +9-9= 10-9 Subtracting 9 on both sides

          x = 1

Solution: x = 1, y = 3 or (1,3).

Hope it helps