The graphs represent this system y=3x-2 -3x+y=7 how many solutions does this system have 0,1, or oo

Answer 1

To find the number of solutions for this system of equations, we can analyze the graphs of the equations y = 3x - 2 and -3x + y = 7.

The graph of y = 3x - 2 is a straight line with a slope of 3 and y-intercept of -2.

The graph of -3x + y = 7 can be rewritten as y = 3x + 7, also a straight line, but with a slope of 3 and y-intercept of 7.

Since both lines have the same slope and different y-intercepts, they are parallel lines. Parallel lines never intersect; therefore, there are no solutions in this system of equations.

Hence, the system has 0 solutions.