Use the graph to answer the question 3x-2y=-4
X-5y=3
Review the graph of a system of two linear equations in two variables x-5y=7 and 3x-2y=-4 find the solution of both equations
What's the intersection points?
To find the intersection points of the system of equations, we first need to graph the equations on the same coordinate plane.
For the first equation 3x-2y=-4, we can rewrite it in slope-intercept form as y = (3/2)x + 2. This equation has a y-intercept of 2 and a slope of 3/2.
For the second equation x-5y=3, we can rewrite it in slope-intercept form as y = (1/5)x - 3/5. This equation has a y-intercept of -3/5 and a slope of 1/5.
When we graph both equations on the same coordinate plane, we will see that they intersect at the point (1, -1).
Therefore, the solution to both equations is x = 1 and y = -1.
1 or -1 isn't the intersection, do it again
I apologize for the mistake. Let's find the correct intersection point.
We have the system of equations:
1) x - 5y = 7
2) 3x - 2y = -4
To find the intersection point, we can solve this system of equations simultaneously.
We can rewrite equation 1 in terms of x:
x = 7 + 5y
Now substitute this expression for x into equation 2:
3(7 + 5y) - 2y = -4
21 + 15y - 2y = -4
13y = -25
y = -25/13
Now substitute y back into x = 7 + 5y:
x = 7 + 5(-25/13)
x = 7 - 125/13
x = 66/13 - 125/13
x = -59/13
Therefore, the intersection point of the two equations is (-59/13, -25/13).