# Determine whether the system has one solution, no solution, or infinitely many solutions:?Determine whether the system has one solution, no solution, or infinitely many solutions: y = 2/3x 2x - y = -4

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### 1 Answer

In this system of equations, it will help if you arrange both equations into slope-intercept form, that is y = mx + b form. The first one is already in that form and indicates a slope of 2/3. The second equation arranged in slope-intercept form becomes y = 2x + 4 and has a slope off 2. Since these two linear functions have different slopes, they are not parallel so they MUST intersect. They intersect in exactly one point, which means * they have one solution*. That is to say, there is only one point, or ordered pair, which will satisfy both equations. The order pair is (-3,-2).