Problem

For $-y-3 x=-6$ determine the value of $y$ when $x=0$, and the value of $x$ when $y=0$. Fill in your answers below.

Answer

Expert–verified
Hide Steps
Answer

Final Answer: The value of $y$ when $x=0$ is \(\boxed{6}\) and the value of $x$ when $y=0$ is \(\boxed{2}\).

Steps

Step 1 ：The given equation is a linear equation in two variables, $x$ and $y$. To find the value of $y$ when $x=0$, we can substitute $x=0$ into the equation and solve for $y$. Similarly, to find the value of $x$ when $y=0$, we can substitute $y=0$ into the equation and solve for $x$.

Step 2 ：Substitute $x=0$ into the equation $-y-3x=-6$, we get $-y=-6$, so $y=6$.

Step 3 ：Substitute $y=0$ into the equation $-y-3x=-6$, we get $-3x=-6$, so $x=2$.

Step 4 ：Final Answer: The value of $y$ when $x=0$ is \(\boxed{6}\) and the value of $x$ when $y=0$ is \(\boxed{2}\).

link_gpt

Popular Problems

Compute $\int_{0}^{\ln (2) / … Solve the triangle. \[ \mathr… QUESTION 2 - 1 POINT Solve th… 5. Suppose you are a computer… Answer the statistical measur… $(-\infty, 2) \cap(-6, \infty… A firm does not pay a dividen… Math 112 Section: 4. Tubercul… Find $y^{\prime}$ if $y=\ln \… 3. (3pts) Cherry trees in a c… More