Is (0, 0) a solution to the equation y = 5x? 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 the x and y coordinates of the point are plugged into the equation, the equation is satisfied (both sides are equal).Plug Coordinates into Equation: Plug the coordinates of the point (0, 0) into the equation y = 5x. For the point (0, 0), x = 0 and y = 0. Substituting these values into the equation gives us 0 = 5(0).Perform Multiplication: Perform the multiplication on the right side of the equation. 5 times 0 equals 0, so the equation becomes 0 = 0.Check Equation Satisfaction: Check if the equation is satisfied with the substituted values. Since 0 equals 0, the equation is satisfied, which means that the point (0, 0) is indeed a solution to the equation y = 5x.

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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 = 5x

\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 the $x$ and $y$ coordinates of the point are plugged into the equation, the equation is satisfied (both sides are equal).
Plug Coordinates into Equation: Plug the coordinates of the point $(0, 0)$ into the equation $y = 5x$ . For the point $(0, 0)$ , $x = 0$ and $y = 0$ . Substituting these values into the equation gives us $0 = 5(0)$ .
Perform Multiplication: Perform the multiplication on the right side of the equation. $5 \times 0 = 0$ , so the equation becomes $0 = 0$ .
Check Equation Satisfaction: Check if the equation is satisfied with the substituted values. $\newline$ Since $0$ equals $0$ , the equation is satisfied, which means that the point $(0, 0)$ is indeed a solution to the equation $y = 5x$ .