MATH SOLVE

2 months ago

Q:
# Solve the system of equations using multiplication. 3x – 3y = –3 5x – y = –13 What is the solution of the system?

Accepted Solution

A:

ANSWERThe solution is x=-3,y=-2EXPLANATIONFirst equation3x – 3y = –3 Second Equation:5x – y = –13Multiply the second equation by 3 to get:Third equation:15x-3y=-39Subtract the first equation from the third equation:[tex]15x - 3x = - 39 - - 3[/tex][tex]12x = - 36[/tex]Divide both sides by 12,[tex]x = \frac{ - 36}{12} = - 3[/tex]Put x=-3 into the first equation: [tex]3( - 3) - 3y = - 3[/tex][tex] - 9 - 3y = - 3[/tex]Group like terms,[tex] - 3y = - 3 + 9[/tex][tex] - 3y = 6[/tex][tex]y = - 2[/tex]The solution is x=-3,y=-2