Question

resuelve el sistema de ecuaciones por el método
solve the system of equations by the equal values method.
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$$\begin{cases} y = 2x - 8 \\\\ y = 4x - 16 \\end{cases}$$

$(x,y) = (\square,\square)$
question help: \video video

Explanation:

Step1: Set the two equations equal

Since both equations are solved for \( y \), we can set \( 2x - 8 \) equal to \( 4x - 16 \). So we have the equation \( 2x - 8 = 4x - 16 \).

Step2: Solve for \( x \)

Subtract \( 2x \) from both sides: \( -8 = 2x - 16 \). Then add 16 to both sides: \( 8 = 2x \). Divide both sides by 2: \( x = 4 \).

Step3: Find \( y \)

Substitute \( x = 4 \) into one of the original equations, say \( y = 2x - 8 \). Then \( y = 2(4) - 8 = 8 - 8 = 0 \).

Answer:

\((4, 0)\)