Question
Find the coordinates of the interception point that solves the system of these two liner equation in two variables.2x+y=15 and y=-x+5
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GPT 3.5
To find the intersection point, we need to solve the system of equations:
1) 2x + y = 15
2) y = -x + 5
We can solve this system by substituting equation 2 into equation 1:
2x + (-x + 5) = 15
2x - x + 5 = 15
x + 5 = 15
x = 10
Now that we have the value of x, we can substitute it back into equation 2 to find the value of y:
y = -x + 5
y = -10 + 5
y = -5
So the intersection point is (10, -5).
1) 2x + y = 15
2) y = -x + 5
We can solve this system by substituting equation 2 into equation 1:
2x + (-x + 5) = 15
2x - x + 5 = 15
x + 5 = 15
x = 10
Now that we have the value of x, we can substitute it back into equation 2 to find the value of y:
y = -x + 5
y = -10 + 5
y = -5
So the intersection point is (10, -5).
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