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Does $(0, 0)$ make the equation $y = 7x$ true? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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

Full solution

Q. Does

(0, 0)

make the equation

y = 7x

true?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Identify given point and equation: Identify the given point and the equation. $\newline$ The given point is $(0, 0)$ , which is the origin, and the equation is $y = 7x$ .
Substitute values into equation: Substitute the $x$ and $y$ values from the point into the equation. $\newline$ Substitute $x = 0$ and $y = 0$ into the equation $y = 7x$ to see if the equation holds true.
Perform substitution and simplify: Perform the substitution and simplify. $\newline$ Substituting the values, we get $0 = 7 \times 0$ . $\newline$ Simplifying the right side, we get $0 = 0$ .
Check equation for truth: Check if the simplified equation is true. $\newline$ Since $0$ equals $0$ , the equation is true when $x = 0$ and $y = 0$ .

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\newline

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\newline

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\newline

\newline

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\newline

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\newline

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