Which ordered pair is the solution of the system of equations shown?
y=-x+5
y+5x-6
(1/6, 29/6)
(1/4, 19/4)
(11/6, 19/6)
(11/4, 9/4)
The system of equations is given as y = -x + 5 and y + 5x - 6.
To find the solution, we need to solve the system by substituting one equation into the other.
Substituting y = -x + 5 into the second equation, we get:
(-x + 5) + 5x - 6 = 0
Combine like terms:
4x - 1 = 0
Add 1 to both sides:
4x = 1
Divide by 4:
x = 1/4
Substituting x = 1/4 into the first equation, we get:
y = -(1/4) + 5
y = -1/4 + 20/4
y = 19/4
Therefore, the ordered pair (1/4, 19/4) is the solution of the system of equations. The answer is (1/4, 19/4).