Question Find the solution to the equation $-1=8-3x$. Draw a graph to help solve the equation, then find the value of $x$.

Studdy Solution
Calculate the value of x.
$$x = 3$$
Solution: $x=3$
Explanation: The graph of the equation $y = -3x + 8$ is a straight line with a slope of -3 and a y-intercept of 8. The solution to the equation $-1 = 8 - 3x$ is the x-coordinate where this line crosses the y-axis at y = -1, which is at $x = 3$.
Check: To verify the solution, plug $x = 3$ back into the original equation.
$$-1 = 8 - 3(3)$$
$$-1 = 8 - 9$$
$$-1 = -1$$
The solution is correct because the left-hand side equals the right-hand side when $x = 3$.