Question

Is (5,5) a solution to this system of equations?

5x–2y=
–
10
15x–16y=
–
5

Answer 1

Answer :(5,5) is not a solution to both equations simultaneously, it is not a solution to the system of equations. ¹

Step-by-step explanation: To check if (5,5) is a solution to the system of equations 5x-2y=-10 and 15x-16y=-5, we can substitute x=5 and y=5 into both equations and see if the left-hand side equals the right-hand side.

For the first equation, we have 5(5)-2(5)=-5-10=-15 which is not equal to the right-hand side of the equation. Therefore, (5,5) is not a solution to the first equation.

For the second equation, we have 15(5)-16(5)=75-80=-5 which is equal to the right-hand side of the equation. Therefore, (5,5) is a solution to the second equation.