Review the graph of a system of two linear equations, and two variables X minus 5Y equals seven and 3X minus 2Y equals -4 find the solution to both equations
To find the solution to both equations, we need to first graph the system of equations. The equations given are:
1) X - 5Y = 7
2) 3X - 2Y = -4
To graph these equations, we can rearrange them into slope-intercept form (Y = mX + b), where m is the slope and b is the y-intercept.
1) X - 5Y = 7
-5Y = -X + 7
Y = (1/5)X - (7/5)
2) 3X - 2Y = -4
-2Y = -3X - 4
Y = (3/2)X + 2
Now, we can graph both equations by plotting the y-intercepts and using the slopes to find additional points on each line. The point where the lines intersect is the solution to the system of equations.
By analyzing the graph, it appears that the two lines intersect at the point (3, -2). Therefore, the solution to the system of equations is X = 3 and Y = -2.
In conclusion, the solution to the system of equations X - 5Y = 7 and 3X - 2Y = -4 is X = 3 and Y = -2.