To find the solution to both equations, we need to find the point of intersection between the two lines. One way to do this is by graphing the two lines on a coordinate plane and identifying the point where they intersect.
Using the given equations:
1) x - 5y = 7
2) 3x - 2y = -4
Let's graph these equations:
Equation 1:
To graph the equation x - 5y = 7, we can rewrite it in slope-intercept form:
-5y = -x + 7
y = (1/5)x - 7/5
This equation represents a line with a slope of 1/5 and a y-intercept of -7/5.
Equation 2:
To graph the equation 3x - 2y = -4, we can rewrite it in slope-intercept form:
-2y = -3x - 4
y = (3/2)x + 2
This equation represents a line with a slope of 3/2 and a y-intercept of 2.
Now let's plot these lines on a coordinate plane:
graph
We can see that the two lines intersect at the point (-1, -2). Therefore, the solution to both equations is (-1, -2).
Answer: The intersection point is (-1, -2).
Solving Systems of Equations by Graphing Practice Complete this assessment to review what you've learned. It will not count toward your grade. 1 of 51 of 5 Items Question Use the image to answer the question. Review the graphs of a system of two linear equations in two variables: x−5y=7 and 3x−2y=−4 . Find the solution to both equations. (1 point) The intersection point is ().
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