Verified Answer :

Panoyin

y = x - 10
2x + y = 4

         2x + y = 4
2x + (x - 10) = 4
  2x + x - 10 = 4
        3x - 10 = 4
            + 10 + 10
               3x = 14
                3      3
                 x = 4²/₃

                 y = x - 10
                 y = 4²/₃ - 10
                 y = -5¹/₃
           (x, y) = (4²/₃, -5¹/₃)

Answer:

The solution of the system of equations is (4.66,-5.33).

Step-by-step explanation:

Given : System of equations \(y=x-10\) and \(2x+y=4\)

To find : What is the solution to the system of equations?

Solution :

To solve the system of equation we apply substitution method.

Let \(y=x-10\) ......(1)

\(2x+y=4\) .......(2)

Now, substitute y from (1) in (2)

\(2x+y=4\)

\(2x+(x-10)=4\)

\(3x=14\)

\(x=\frac{14}{3}\)

\(x=4.66\)

Substitute \(x=\frac{14}{3}\) in (1)

\(y=x-10\)

\(y=\frac{14}{3}-10\)

\(y=\frac{14-30}{3}\)

\(y=\frac{-16}{3}\)

\(y=-5.33\)

So, The intersection points of both the equation is (4.66,-5.33).

Therefore, The solution of the system of equations is (4.66,-5.33).

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