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2x+3y=5x-y
Complete the missing value in the solution to the equation.

(◻,0)

$2 x+3 y=5 x-y$ $\newline$ Complete the missing value in the solution to the equation. $\newline$ $(\square, 0)$

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Does (x, y) satisfy the linear equation?

Full solution

Q.

2 x+3 y=5 x-y

\newline

Complete the missing value in the solution to the equation.

\newline

(\square, 0)

Find x-coordinate: First, we need to find the x-coordinate of the point where the line intersects the x-axis. At this point, the y-coordinate is $0$ . So we substitute $y = 0$ into the equation $2x + 3y = 5x - y$ .
Substitute $y=0$ : Substituting $y = 0$ into the equation gives us $2x + 3(0) = 5x - (0)$ , which simplifies to $2x = 5x$ .
Solve for x: To solve for x, we need to get all the x terms on one side of the equation. We can do this by subtracting $2x$ from both sides, which gives us $0 = 5x - 2x$ .
Divide by $3$ : Simplifying the right side of the equation, we get $0 = 3x$ .
Final x value: To find the value of x, we divide both sides by $3$ , which gives us $x = \frac{0}{3}$ .
Final x value: To find the value of x, we divide both sides by $3$ , which gives us $x = \frac{0}{3}$ . Simplifying the fraction $\frac{0}{3}$ gives us $x = 0$ .

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