Question

question 8 of 14 step 1 of 2 consider the following system of equations. {4x - y = 13 {8x - 2y = 26 step 1 of 2: determine if the point (2, - 5) lies on both of the lines in the system of equations by substituting the ordered pair into both equations. answer 5 points keypad keyboard shortcuts

Explanation:

Step1: Substitute into first - equation

Substitute \(x = 2\) and \(y=-5\) into \(4x - y=13\).
\[4\times2-(-5)=8 + 5=13\]

Step2: Substitute into second - equation

Substitute \(x = 2\) and \(y = - 5\) into \(8x-2y = 26\).
\[8\times2-2\times(-5)=16 + 10=26\]

Answer:

Yes, the point \((2,-5)\) lies on both lines.