Question

Solve the simultaneous equations
5x + y = 11
3x - y = 9​

Answer 1

Answer:

Step-by-step explanation:

5x  + y = 11 -------------------(I)

3x - y = 9 -----------------(II)

Add equation (I) & (II)

   5x + y = 11

   3x - y = 9        {add and y will be eliminated and we'll get the value of x}

  8x       = 20

          x = 20/8

         x = 2.5

Plugin x = 2.5 in equation (I)

5*2.5 + y = 11

 12.5  + y = 11

            y = 11 - 12.5

            y = -1.5

Answer 2

After solving the equations simultaneously we get the value $x=\frac{5}{2}$ and $y=\frac{-3}{2}$.

What are equations ?

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign .

We have,

$5x + y = 11$   $.......... (i)$

$3x - y = 9$   $...........(ii)$

To solve we will multiply equation $(i)$ by $3$ and equation $(ii)$ by $5$,

$15x + 3y = 33$   $..........(iii)$

$15x -5y = 45$   $..........(iv)$

Now, adding both equations $(iii)$ and $(iv)$ ,

We get,

$8y=-12$

$y=-\frac{3}{2} =1.5$

Now putting value of $y=-\frac{3}{2} =1.5$ in equation $(i)$ ,

$5x+(\frac{-3}{2} )=11$

$x=\frac{5}{2} =2.5$

So, using the elimination method we find out the value $x=\frac{5}{2}$ and $y=\frac{-3}{2}$, which was find out simultaneously.

Hence, we can say that after solving the equations simultaneously we get the value $x=\frac{5}{2}$ and $y=\frac{-3}{2}$.

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