Find the coordinates of the intersection point that solves the system of these two linear equations in two variables: 2x + y = 15 and y= -x + 5
To find the intersection point, we can substitute the value of y from the second equation into the first equation:
2x + (-x + 5) = 15
2x - x + 5 = 15
x + 5 = 15
x = 15 - 5
x = 10
Now we can substitute the value of x back into the second equation to find y:
y = -10 + 5
y = 5
Therefore, the coordinates of the intersection point are (10, 5).