Q:

I DON'T UNDERSTAND!!!!!!!Find the solution to the system of equations.βˆ’7xβˆ’2y=146x+6y=18x=y=

Accepted Solution

A:
Answer:x=-4 and y=7Step-by-step explanation:So the equations are -7x-2y=14 and 6x+6y=18there are multiple ways to solve this equation:you can either first isolate a variable and then substitute it in kind of like what I showed you in the last one of these (since I showed you this one I will show you the other)ORyou can cancel out some variables.THE CANCELATION METHODfor this method you need to make one of the variables in one equation be opposite of the same variable in the other equation (for example 2x is the opposite of -2x)We can multiply the first equation by 3-21x-6y=42 (this is the first equation multiplied by 3)6x+6y=18 (this is the second equation)now you add the two equations together-15x=60See how the two y values cancel out?divide both sides by -15x=-4substitute this into one of the original equations6(-4)+6y=18-24+6y=18add 24 to both sides6y=42divide both by 6y=7ALWAYS check your answers6(-4)+6(7)=18-24+42=1818=18