Problem

Solve the system of equations by graphing. \[ \begin{array}{l} 4 x-y=6 \\ x+2 y=6 \end{array} \] Select the correct choice and, If necessary, fill in the answer box to complefe your choice. A. The solution is $\square$. (T), an ordered paic) B. There are intinitely many solvitions. c. There is no sclution.

Solution

Step 1 :Rewrite the first equation, \(4x - y = 6\), in slope-intercept form to get \(y = 4x - 6\).

Step 2 :Rewrite the second equation, \(x + 2y = 6\), in slope-intercept form to get \(y = -\frac{1}{2}x + 3\).

Step 3 :Graph the two equations \(y = 4x - 6\) and \(y = -\frac{1}{2}x + 3\) on the same set of axes.

Step 4 :Find the point where the two lines intersect. This point is the solution to the system of equations.

Step 5 :The lines intersect at the point \((2, 2)\).

Step 6 :\(\boxed{(2, 2)}\) is the solution to the system of equations.

From Solvely APP
Source: https://solvelyapp.com/problems/obGFRZk06E/

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