Question

What is the solution to the system of equations shown below?3x+8y=-186x+16y=-54A.) The solution is (0, −18).B.) The solution is (−18, 0).C.) There are an infinite number of solutions.D.) There is no solution.

Answer 1

3x + 8y = -18 -----------------------(1)

6x + 16 y = - 54 ---------------------------(2)

Using elimination method,

multiply equation (1) by 6 and equation (2) by 3

18x + 48y = -108 -----------------(3)

18 x + 48y = 162 -------------------(4)

From this, we can deduce that there is no solution to the system of equations