Question

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.​

Answer 1

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:

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