Does the point (0, 1) satisfy the equation y = 4x? Choices: (A)yes (B)no

Identify values of x and y: Identify the values of x and y in the point (0,1). The point (0,1) gives us x = 0 and y = 1.Substitute values into equation: Substitute the values of x and y into the equation y = 4x. Substitute 0 for x and 1 for y to see if the equation holds true. Equation after substitution: 1 = 4 * 0.Perform multiplication to simplify: Perform the multiplication to simplify the right side of the equation. Calculate 4 * 0 which equals 0. Equation after calculation: 1 = 0.Determine if equation is true: Determine if the equation 1 = 0 is true. Since 1 is not equal to 0, the statement is false. Therefore, the point (0, 1) does not satisfy the equation y = 4x.

Home

Math Problems

Algebra 1

Does (x, y) satisfy the linear equation?

Full solution

Q. Does the point

(0, 1)

satisfy the equation

y = 4x

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Identify values of $x$ and $y$ : Identify the values of $x$ and $y$ in the point $(0,1)$ . The point $(0,1)$ gives us $x = 0$ and $y = 1$ .
Substitute values into equation: Substitute the values of $x$ and $y$ into the equation $y = 4x$ . $\newline$ Substitute $0$ for $x$ and $1$ for $y$ to see if the equation holds true. $\newline$ Equation after substitution: $1 = 4 \times 0$ .
Perform multiplication to simplify: Perform the multiplication to simplify the right side of the equation. $\newline$ Calculate $4 \times 0$ which equals $0$ . $\newline$ Equation after calculation: $1 = 0$ .
Determine if equation is true: Determine if the equation $1 = 0$ is true. $\newline$ Since $1$ is not equal to $0$ , the statement is false. $\newline$ Therefore, the point $(0, 1)$ does not satisfy the equation $y = 4x$ .