Is (1, 2) a solution to the equation y = 2x? 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 values of the point are substituted into the equation, the equation is true.Substitute Point Values: Substitute the x and y values of the point (1, 2) into the equation y = 2x. Substitute x = 1 and y = 2 into the equation to see if the equation holds true. 2 = 2(1)Perform Multiplication: Perform the multiplication on the right side of the equation. 2(1) equals 2. So, we have 2 = 2.Compare Sides: Compare the left side of the equation to the right side of the equation. Since both sides of the equation are equal (2 = 2), the point (1, 2) satisfies the equation y = 2x.

Home

Math Problems

Grade 8

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

Full solution

Q. Is

(1, 2)

a solution to the equation

y = 2x

\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 $y$ values of the point are substituted into the equation, the equation is true.
Substitute Point Values: Substitute the $x$ and $y$ values of the point $(1, 2)$ into the equation $y = 2x$ . $\newline$ Substitute $x = 1$ and $y = 2$ into the equation to see if the equation holds true. $\newline$ $2 = 2(1)$
Perform Multiplication: Perform the multiplication on the right side of the equation. $\newline$ $2(1) = 2$ . $\newline$ So, we have $2 = 2$ .
Compare Sides: Compare the left side of the equation to the right side of the equation. $\newline$ Since both sides of the equation are equal $2 = 2$ , the point $(1, 2)$ satisfies the equation $y = 2x$ .