To solve the system of equations, we can use the method of elimination. We will eliminate x by multiplying the second equation by 7 and adding the two equations together:
7(7x + 5y) + 7(-7x - 2y) = 7(19) + 7(-16)
49x + 35y - 49x - 14y = 133 - 112
21y = 21
y = 1
Substituting y = 1 into the first equation:
7x + 5(1) = 19
7x + 5 = 19
7x = 14
x = 2
Therefore, the solution to the system of equations is x = 2 and y = 1.
The correct answer is A. (2, 1).
what is the solution of the system?
7x + 5y = 19
-7x - 2y = -16
A. (2, 1)
B. (1, 2)
C. (7, 5)
D. (-7,-2)
1 answer
1 answer