-8x + 10y = -4
6x - 2y = 8
Consider the following system of equations:
2x + 3y = 12
—4x + 5y = —4
Which of the following equations could be used to create
an equivalent system (a system with the same solution)?
Select all the apply.
-8x + 10y = -4
-2x + 8y =8
6x + 9y = 36
6x - 2y = 8
x + 3/2y = 6
3 answers
Consider the following system of equations:
3x — 5y = 4
5x +y=16
Determine the y —coordinate of the solution of the
system.
3x — 5y = 4
5x +y=16
Determine the y —coordinate of the solution of the
system.
To determine the y-coordinate of the solution of the system of equations, you can use substitution or elimination method.
Using elimination method:
1. Multiply the second equation by 5 to make the coefficients of y in both equations the same:
5(5x + y) = 5(16)
25x + 5y = 80
2. Add the first equation to the new equation:
3x - 5y + 25x + 5y = 4 + 80
28x = 84
x = 3
3. Substitute x = 3 back into the second equation:
5(3) + y = 16
15 + y = 16
y = 16 - 15
y = 1
Therefore, the y-coordinate of the solution of the system of equations is y = 1.
Using elimination method:
1. Multiply the second equation by 5 to make the coefficients of y in both equations the same:
5(5x + y) = 5(16)
25x + 5y = 80
2. Add the first equation to the new equation:
3x - 5y + 25x + 5y = 4 + 80
28x = 84
x = 3
3. Substitute x = 3 back into the second equation:
5(3) + y = 16
15 + y = 16
y = 16 - 15
y = 1
Therefore, the y-coordinate of the solution of the system of equations is y = 1.