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
(5,−10)
(−10, 5)
(−5, 10)
(10,−5)
To find the intersection point, we can substitute the second equation into the first equation:
2x + y = 15
2x + (-x + 5) = 15
2x - x + 5 = 15
x + 5 = 15
x = 10
Now that we have found x=10, we can plug it back into the second equation to find y:
y = -10 + 5
y = -5
Therefore, the coordinates of the intersection point are (10, -5), which is the fourth option.