To find the intersection point of the two linear equations, we can solve the system of equations by substitution or elimination. Let's use substitution.
First, we'll solve the second equation, y = -x + 5, for y:
y = -x + 5
Next, we'll substitute this value of y into the first equation, 2x + y = 15:
2x + (-x + 5) = 15
Simplifying the equation, we get:
2x - x + 5 = 15
x + 5 = 15
x = 15 - 5
x = 10
Now that we have the value of x, we can substitute it back into the second equation to find y:
y = -x + 5
y = -10 + 5
y = -5
Therefore, the coordinates of the intersection point are (10, -5).
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y=-x+ 5 x 10- -9- -8- -7- -6- -4- -3- -2- 1. -0- -5 -4 -3 -2 -1,0 -1- O (-5, 10) O (5,-10) O (10,-5) O (-10, 5) -2- -3- -4- -5- -6+ -7+ -8- -9- -10 2x + y = 15 1 2 3 4 jo 7 8 9 10 11 12 13 14 15 x 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. (1 point)
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