Q:

What is the solution to the equation 5x + 2y = -9a.(2,-4)b.(-1,2)c.(-2,5)d.(1,-3)

Accepted Solution

A:
In order to find which one of the given points is a solution to the equation, we need to plug each point in the equation and check which one fits in .The equation is :5x+2y=-9a.(2,-4) 5x+2y=-9LHS: 5x+2yPlugging (2,-4) in this,5(2) +2(-4) = 10-8 =2RHS : -9LHS ≠RHSSo (2,-4) is not the solution.b.(-1,2) 5x+2y=-9LHS: 5x+2yPlugging (-1,2) in this,5(-1) +2(2) = -5+4 =-1RHS : -9LHS ≠RHSSo (-1,2) is not the solution.c.(-2,5) 5x+2y=-9LHS: 5x+2yPlugging (-2,5) in this,5(-2) +2(5) = -10+10 =0RHS : -9LHS ≠RHSSo (-2,5) is not the solution.d.(1,-3)5x+2y=-9LHS: 5x+2yPlugging (1,-3) in this,5(1) +2(-3) = 5-6=-1RHS : -9LHS ≠RHSSo (1,-3) is not the solution.None of the given options is a solution to the given equation.