To solve the system of equations by elimination, we can add the equations together to eliminate the y variable:
(3x + 4y) + (2x - 4y) = 31 + (-6)
5x = 25
x = 5
Now we can substitute the value of x back into one of the original equations to solve for y:
3(5) + 4y = 31
15 + 4y = 31
4y = 31 - 15
4y = 16
y = 16/4
y = 4
Therefore, the solution to the system of equations is (5, 4).
Solve the system of equations by elimination.
3x + 4y = 31
2x – 4y = –6
(1 point)
Responses
(4, 5)
(4, 5)
(5, 4)
(5, 4)
(–5, 12.5)
(–5, 12.5)
(5, –4)
1 answer