Respuesta :

if x + y equals to 10 and X Minus y equals to 5 find the value of 2 y ​

So, we have

[tex]\begin{gathered} x+y=10\text{ Equation (1)} \\ x-y\text{ = 5 Equation (2)} \\ 2y\text{ = ?} \\ \end{gathered}[/tex]

to solve this, we can add the equations

Equation 1 +Equation 2

[tex]\begin{gathered} \text{ x + y = 10} \\ \text{ x - y = 5} \\ 2x=15 \\ x=\frac{15}{2} \\ x=7.5 \\ \end{gathered}[/tex]

Now, replace this value in equation 2 to find y

[tex]\begin{gathered} \text{ x - y = 5} \\ 7.5-y\text{ =5} \\ 7.5-5=y \\ y=2.5 \\ \end{gathered}[/tex]

Now, 2y

[tex]\begin{gathered} 2y=2\cdot2.5 \\ 2(2.5)=5 \end{gathered}[/tex]

So, 2y=5

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