Question

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) Responses (10,−5) left parenthesis 10 comma negative 5 right parenthesis (−5, 10) left parenthesis negative 5 comma 10 right parenthesis (−10, 5) left parenthesis negative 10 comma 5 right parenthesis (5,−10)

Answer 1

To solve this system of equations, we can substitute the value of y from the second equation into the first equation:

2x + (-x+5) = 15

Simplifying the equation by combining like terms, we get:

x + 5 = 15

Subtracting 5 from both sides of the equation, we have:

x = 10

Now we can substitute this value of x back into the second equation to find the value of y:

y = -x + 5

y = -10 + 5

y = -5

Therefore, the coordinates of the intersection point are (10, -5).