Question

{x y=95 x−y=15 slope intercept form

Answer 1

To find the slope-intercept form of the given equations, we can solve one equation for one variable and substitute it into the other equation. In this case, we need to solve equation 2 for x and substitute it into equation 1. The solution to the given system of equations is x = 55 and y = 40.

Step-by-step explanation:

In the given equation, we have:

x + y = 95 (equation 1)

x - y = 15 (equation 2)

To find the slope-intercept form of these equations, we need to solve equation 2 for x and substitute it in equation 1.

First, let's solve equation 2 for x:

x = 15 + y

Now substitute the value of x in equation 1:

15 + y + y = 95

Combining like terms, we get:

2y + 15 = 95

Subtracting 15 from both sides:

2y = 80

Dividing both sides by 2:

y = 40

Now substitute the value of y in equation 2 to find x:

x - 40 = 15

Adding 40 to both sides:

x = 55

Therefore, the solution to the given system of equations is x = 55 and y = 40.