Decide whether x=2 and y=-1 is the solution of the equation 2x+y=3 or not?​

2 thoughts on “Decide whether x=2 and y=-1 is the solution of the equation 2x+y=3 or not?​”

1. Answer:

   we have,

   \begin{gathered}2x – 3y = 7 \\ 5x + 3y = 7\end{gathered}

   2x−3y=7

   5x+3y=7

   now to check whether the given pair of coordinates is a solution for the pair of linear equations, we simply plug them into the equation.

   The first equation,

   \begin{gathered}2(2) – 3( – 1) = 7 \\ 4 – ( – 3) = 7 \\ 4 + 3 = 7 \\ 7 = 7\end{gathered}

   2(2)−3(−1)=7

   4−(−3)=7

   4+3=7

   7=7

   which is true

   Now for the second equation,

   \begin{gathered}5(2) + 3( – 1) = 7 \\ 10 + ( – 3) = 7 \\ 10 – 3 = 7 \\ 7 = 7\end{gathered}

   5(2)+3(−1)=7

   10+(−3)=7

   10−3=7

   7=7

   which is also true

   Hence, we can conclude that

   \begin{gathered}x = 2 \\ y = – 1\end{gathered}

   x=2

   y=−1

   is a solution for the given equations

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2. Answer:

   Given:–

   Decide whether x = 2 and y = -1 is the solution of the equation 2x + y = 3 or not ?

   To Find:–

   [tex] 2x + y = 3 [/tex] is the solution of equation or not.

   Note:–

   ☆》Equation means the both side term should be equal that~ L.H.S = R.H.S

   ☆》For deciding we need to apply the number which is given.

   ☆》When there is opposite sign like ‘ + and – ‘ the term should be subtracted.

   Solution:–

   x = 2, y = -1

   According to note first point ( L.H.S = R.H.S ) and second point~

   ● [tex] 2x + y = 3 [/tex]

   ● [tex] 2 × 2 + -1 = 3 [/tex]

   ● [tex] 4 + (-1) = 3 [/tex]

   According note third point~

   ● [tex] 4 – 1 = 3 [/tex]

   After doing calculations~

   ● [tex] 3 = 3 [/tex]

   ♤ Hence, decided that L.H.S = R.H.S or both side term is equal //

   Answer:–

   [tex] 2x + y = 3 [/tex] is the solution of equation when x = 2 and y = -1 .

   Reply