A system of equations is shown.




{


=
10
3

+
5

=
20
{
x=10
3x+5y=20





​What is the solution
(

,

)
(x,y) of the system of equations?



​Enter your answer in the box.​

1 answer

To solve the given system of equations:

  1. Equation 1: \( x = 10 \)
  2. Equation 2: \( 3x + 5y = 20 \)

Since we already have the value of \( x \), we can substitute it into the second equation.

Substituting \( x = 10 \) into \( 3x + 5y = 20 \):

\[ 3(10) + 5y = 20 \]

This simplifies to:

\[ 30 + 5y = 20 \]

Now, subtract 30 from both sides:

\[ 5y = 20 - 30 \]

\[ 5y = -10 \]

Now, divide by 5:

\[ y = -2 \]

Thus, the solution \( (x, y) \) of the system of equations is:

\[ \boxed{(10, -2)} \]