Y equals negative X +5

Question

2X plus Y equals 15
Find the coordinates of the intersection points that solves the system of these two linear equations into variables 2X plus Y equals 15 and Y equals negative X +5

Answer 1

To solve this system of equations, we first need to substitute the expression for Y from the first equation into the second equation:

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

Now that we have found the value of X, we can substitute it back into the first equation to find the value of Y:

Y = -X + 5
Y = -(10) + 5
Y = -10 + 5
Y = -5

Therefore, the coordinates of the intersection point that solves the system of equations are (10, -5).