review the graphs of a system of two linear equations in two variables: x-5y=7 and 3x-2y=
The system of two linear equations in two variables, x-5y=7 and 3x-2y=y, can be graphed to show their intersection point, which represents the solution to the system.
To graph these equations, we first rewrite them in slope-intercept form (y=mx+b), where m is the slope and b is the y-intercept:
Equation 1: x-5y=7
-5y = -x + 7
y = (1/5)x - 7/5
Equation 2: 3x-2y=0
-2y = -3x
y = (3/2)x
Now, we can graph these two lines on the coordinate plane. The first line has a slope of 1/5 and a y-intercept of -7/5, while the second line has a slope of 3/2 and passes through the origin.
By plotting these lines, we find that they intersect at the point (3,-2). This point represents the solution to the system of equations, as it is the value of x and y that satisfy both equations simultaneously.
Overall, the graphs of the system of two linear equations x-5y=7 and 3x-2y=0 intersect at the point (3,-2), indicating that this point is the solution to the system.