System A System B 7x + 4y = - 4; 7x + 4y = - 4; 5x + 8y = 28 ? Which of the following terms will make the systems equivalent? ( 1 point) - 14x - 8y = - 8; 12x + 12y = 24; - 12x - 12y = 24; - 14x - 8y = 8
The terms that will make the systems equivalent are:
- 12x - 12y = 24
Are unsure
Apologies for the confusion. The correct answer is:
- 14x - 8y = 8
Solve the following system of equations using the elimination method. 3x - 4y = - 4; x + 3y = - 10 (1 point ) (- 4, - 2); (- 16, 2); (- 16, - 2); (- 2, - 4)
To solve the system of equations using the elimination method, we can multiply the second equation by 3 and then add the two equations together to eliminate y.
First, let's multiply the second equation by 3:
3(x + 3y) = 3(-10)
3x + 9y = -30
Next, we add the two equations together:
(3x - 4y) + (3x + 9y) = -4 + (-30)
6x + 5y = -34
Now we have the equation 6x + 5y = -34.
To solve for x, we can subtract 5y from both sides:
6x = -5y - 34
Finally, we can solve for y by substituting the expression for 6x into the first equation:
3x - 4y = -4
3(-5y - 34) - 4y = -4
-15y - 102 - 4y = -4
-19y = 98
y = 98 / -19
y = -98/19 ≈ -5.158
Now we can substitute the value of y back into the equation 3x - 4y = -4 to solve for x:
3x - 4(-98/19) = -4
3x + 392/19 = -4
3x = -4 - 392/19
3x = (-4 * 19 - 392) / 19
3x = (-76 - 392) / 19
3x = -468 / 19
x = -468 / (3 * 19)
x = -468 / 57 ≈ -8.211
So the solution to the system of equations is approximately (-8.211, -5.158).
R u surr
My apologies for the mistake. Let's go through the steps again.
Given system:
3x - 4y = -4 ----(1)
x + 3y = -10 ----(2)
We'll use the elimination method to solve this system.
Multiply equation (2) by 3:
3(x + 3y) = 3(-10)
3x + 9y = -30 ----(3)
Now, let's subtract equation (1) from equation (3):
(3x + 9y) - (3x - 4y) = -30 - (-4)
3x + 9y - 3x + 4y = -30 + 4
13y = -26
y = -26/13
y = -2
Now substitute this value of y into equation (2):
x + 3(-2) = -10
x - 6 = -10
x = -10 + 6
x = -4
So, the solution to the system of equations is x = -4, y = -2.
The correct answer is (-4, -2).