2x-y+3 =0 and x+y-5 =0 find the point of intersect of the following pairs of lines.
Question
2x-y+3 =0 and x+y-5 =0 find the point of intersect of the following pairs of lines.
Solution
To find the point of intersection of the two lines, we can use the method of substitution or elimination. Here, we will use the method of substitution.
Step 1: From the second equation, we can express x in terms of y: x = 5 - y
Step 2: Substitute x = 5 - y into the first equation: 2(5 - y) - y + 3 = 0
Step 3: Simplify the equation: 10 - 2y - y + 3 = 0
Step 4: Combine like terms: -3y + 13 = 0
Step 5: Solve for y: y = 13/3
Step 6: Substitute y = 13/3 into the equation x = 5 - y to find x: x = 5 - 13/3 = 2/3
So, the point of intersection of the two lines is (2/3, 13/3).
Similar Questions
Check whether the three lines represented by the equations given below intersect at a commonpoint.2x + y - 1 = 04x + 3y + 5 = 05x + 4y + 8 = 0Show your work.
line has a slope of 0 and passes through the point (3, -5). Which of the following equations represents the line?
Find the x-intercept of the line by substituting 0 in for y and solving for x.y + 5 = 5x
Two equations and their graphs are given. Find the intersection point(s) of the graphs by solving the system. x2 + y = 5x − 2y = 0(x, y) = ( ) (smaller x-value)(x, y) = ( ) (larger x-value)
The line x - y = 5 passes through(0, 5)(-5, 0)(0, -5)
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.