What is the solution to the system of equations below?

Question

y = two-fifths x minus 3 and x = –10
(–10, –7)
(–10, –1)
(–7, –10)
(–1, –10)

Answer 1

To solve the system of equations given:

1. \( y = \frac{2}{5}x - 3 \)
2. \( x = -10 \)

We can substitute \( x = -10 \) into the first equation to find \( y \).

\[ y = \frac{2}{5}(-10) - 3 \]

Calculating \( \frac{2}{5}(-10) \):

\[ \frac{2}{5}(-10) = -4 \]

Now substitute this into the equation for \( y \):

\[ y = -4 - 3 = -7 \]

So, when \( x = -10 \), the corresponding value of \( y \) is \( -7 \).

Thus, the solution to the system of equations is:

\[ (-10, -7) \]

The correct answer is \( (-10, -7) \).