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Bot GPT 3.5 The equations y=5x+7 and 3y-15x=18 can be written as two linear equations in the form y=ax+b. In this case, the equations are already in that form.
To find the number of solutions for the system of equations, we need to determine if the lines defined by the two equations intersect once, infinitely, or not at all.
To do this, we can compare the slopes of the two equations:
For y = 5x + 7, the slope is 5.
For 3y - 15x = 18, we need to rewrite it in the form y = mx + b:
3y - 15x = 18
3y = 15x + 18
y = 5x + 6
The slope for this equation is also 5.
Since the slopes are the same and the y-intercepts are different, the two lines are parallel and have no intersection point. Therefore, there are no solutions for this system of equations.