To find the solution to the system of equations, we need to substitute the values of x and y from each answer choice into the given equations and see which one satisfies both equations.
For answer choice f (-1,16):
-4(-1) + 5(16) = -4 + 80 = 76
This does not satisfy the first equation.
For answer choice g (5,-6):
-4(5) + 5(-6) = -20 - 30 = -50
This does not satisfy the first equation.
For answer choice h (-8,-1):
-4(-8) + 5(-1) = 32 - 5 = 27
This satisfies the first equation.
27(8) - 6(-1) = 216 + 6 = 222
This also satisfies the second equation.
Therefore, (-8,-1) satisfies the system of equations.
{-4x+5y=27x−6y=-2
What is the solution to the system of equations shown above?
f (-1,16)
g (5,-6)
h (-8,-1)
j (0,13)
1 answer