Find the coordinates of the intersection point that sells the system of these two linear equations in two variables 2X plus Y equals 15 and Y equals negative X +5

Answer 1

To find the intersection point that satisfies both equations, we need to solve the system of equations.

Let's first rewrite the equations in the standard form:

2X + Y = 15 ...(1)
Y = -X + 5 ...(2)

We can now solve the system using substitution or elimination method.

Substituting equation (2) into equation (1), we get:

2X + (-X + 5) = 15
2X - X + 5 = 15
X + 5 = 15
X = 15 - 5
X = 10

Now, substitute the value of X back into equation (2):

Y = -X + 5
Y = -10 + 5
Y = -5

Therefore, the intersection point is (10, -5).