You just found that x = 3. That’s the same as the x-coordinate of the point of intersection. Let’s see if the corresponding y-value is the same, too. You can use either equation. What’s the value of y when x = 3? You can solve on paper, and then enter your answer on Zearn.

y= 70 − 5x
y= 10 + 15x
When x= 3, y=
.

1 answer

To find the corresponding \( y \)-value when \( x = 3 \), we can substitute \( x = 3 \) into either equation.

Let's use the first equation \( y = 70 - 5x \):

\[ y = 70 - 5(3) \] \[ y = 70 - 15 \] \[ y = 55 \]

Now let's check using the second equation \( y = 10 + 15x \):

\[ y = 10 + 15(3) \] \[ y = 10 + 45 \] \[ y = 55 \]

Both equations give us the same \( y \)-value of \( 55 \).

Therefore, when \( x = 3 \), \( y = 55 \).