Identify the solution(s) of the system of equations, if any.
5x + 2y = 2
4x - 2y = 8
A) (9/10, -5/4 )
B) (–6, 16)
C) (10/9, -16/9 )
D) (10, –24)
What is your answer
You're right.
thank you!
Actually it is C not B
5x + 2y =2
4x -2y = 8
9x = 10
9x/9 = 10/9
x = 10/9
4x -2y = 8
4(10/9) -2y = 8
40/9 -2y = 8
-2y = 8-40/9
-2y = (72-40)/9
-2y = 32/9
y = (32/9)*(-1/2)
y = -16/9
(10/9, -16/9)
C
You're right
To find the solution(s) of the system of equations, you can use the method of elimination.
First, let's add the two equations together to eliminate the y term:
(5x + 2y) + (4x - 2y) = 2 + 8
Combining like terms, we get:
9x = 10
Next, we solve for x by dividing both sides of the equation by 9:
x = 10/9
Now that we have the value of x, we can substitute it back into one of the original equations to solve for y. Let's use the first equation:
5(10/9) + 2y = 2
Multiplying 5 by 10/9, we get:
50/9 + 2y = 2
Subtracting 50/9 from both sides of the equation:
2y = 2 - 50/9
Combining the right side:
2y = 18/9 - 50/9
Simplifying:
2y = -32/9
Dividing both sides by 2:
y = -16/9
Therefore, the solution to the system of equations is (10/9, -16/9).
So, the correct answer is C) (10/9, -16/9).