Malik solved this system of equations.
2x+4y=24
5x+y=15

As the first step, he decided to solve for x in the first equation because it has a small, even number for the coefficient. Jill told him there was a more efficient way. What reason can Jill give for her statement?

Respuesta :

We can solve for x in by substituting 'y=15-5x' from the second one into the first equation, because in the second equation, y has no coefficient, which will make it easier to substitute.

The solution of the given system of equation is (2, 5).

What is Equation?

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.

Here, given equation

    2x + 4y = 24  ..............(i)

    5x + y = 15     ..............(ii)

On multiply 4 in equation (ii), we get

     2x + 4y = 24  ..............(i)

    20x + 4y = 60 ............(iii)

On subtracting equation (i) from equation (iii), we get

   18x = 36

    x = 2

put the value of x in equation (i), we get

   2 X 2 + 4y = 24

      4 + 4y = 24

        4y = 20

          y = 5

Thus, the solution of the given system of equation is (2, 5).

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