Is (0, 0) a solution to the equation y = 6x? Choices: (A)yes (B)no

Understand Equation Solutions: Understand what it means for a point to be a solution to an equation. A point is a solution to an equation if, when we substitute the x and y values of the point into the equation, the equation holds true.Substitute (0, 0) into y = 6x: Substitute the x and y values of the point (0, 0) into the equation y = 6x. Substitute x = 0 and y = 0 into the equation to get 0 = 6 * 0.Perform Multiplication: Perform the multiplication on the right side of the equation. Calculate 6 * 0 to get 0.Check Equation Truth: Check if the equation is true with the substituted values. Since 0 = 0 is a true statement, the point (0, 0) satisfies the equation y = 6x.Conclude Solution Status: Conclude whether (0, 0) is a solution to the equation. Since substituting (0, 0) into the equation y = 6x resulted in a true statement, (0, 0) is indeed a solution to the equation.

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Grade 8

Is (x, y) a solution to the linear equation?

Full solution

Q. Is

(0, 0)

a solution to the equation

y = 6x

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Understand Equation Solutions: Understand what it means for a point to be a solution to an equation. $\newline$ A point is a solution to an equation if, when we substitute the $x$ and $y$ values of the point into the equation, the equation holds true.
Substitute $(0, 0)$ into $y = 6x$ : Substitute the $x$ and $y$ values of the point $(0, 0)$ into the equation $y = 6x$ . $\newline$ Substitute $x = 0$ and $y = 0$ into the equation to get $0 = 6 \times 0$ .
Perform Multiplication: Perform the multiplication on the right side of the equation. $\newline$ Calculate $6 \times 0$ to get $0$ .
Check Equation Truth: Check if the equation is true with the substituted values. $\newline$ Since $0 = 0$ is a true statement, the point $(0, 0)$ satisfies the equation $y = 6x$ .
Conclude Solution Status: Conclude whether $0, 0$ is a solution to the equation. $\newline$ Since substituting $0, 0$ into the equation $y = 6x$ resulted in a true statement, $0, 0$ is indeed a solution to the equation.