x + y = 7
3x − y = 1
Find point of intersection
add the two equations. Then you get
4x=8
should be easy from here, eh?
(2,5)
Great !
Thank you
To find the point of intersection of the given equations, we need to solve the system of equations. Here's how you can do it step by step:
Step 1: Write down the given equations:
x + y = 7 ...(Equation 1)
3x - y = 1 ...(Equation 2)
Step 2: Choose either of the equations and solve it for one variable in terms of the other. Let's choose Equation 1 and solve for y:
y = 7 - x
Step 3: Substitute the value of y from Equation 2 into Equation 1:
x + (7 - x) = 7
x + 7 - x = 7
7 = 7
Step 4: Since the equation simplifies to 7 = 7, this means that the two equations are representing the same line or parallel lines. In this case, there is no unique point of intersection.
Therefore, the system of equations does not have a point of intersection.