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. (5,-10)
2. (-5,10)
3. (10,-5)
4.(-10,5)
3 answers
The correct answer is (5, 5).
wrong
My apologies for the mistake. Let's solve the system of equations to find the correct answer.
We are given the following system of equations:
1) 2x + y = 15
2) y = -x + 5
Substitute the second equation into the first equation:
2x + (-x + 5) = 15
2x - x + 5 = 15
x + 5 = 15
x = 10
Now, substitute the value of x back into the second equation to find y:
y = -10 + 5
y = -5
Therefore, the intersection point that solves the system of equations is (10, -5).
So, the correct answer is 3. (10, -5).
We are given the following system of equations:
1) 2x + y = 15
2) y = -x + 5
Substitute the second equation into the first equation:
2x + (-x + 5) = 15
2x - x + 5 = 15
x + 5 = 15
x = 10
Now, substitute the value of x back into the second equation to find y:
y = -10 + 5
y = -5
Therefore, the intersection point that solves the system of equations is (10, -5).
So, the correct answer is 3. (10, -5).