SOLUTION: {{{4x - 3y = -6 and -x - 2y = 7}}} How is this solved?

Algebra ->  Expressions-with-variables -> SOLUTION: {{{4x - 3y = -6 and -x - 2y = 7}}} How is this solved?      Log On


   

Question 192984: 4x+-+3y+=+-6++and+-x+-+2y+=+7
How is this solved?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!






Multiply the 2nd equation by 4, making the coefficient on x in the 2nd equation the additive inverse of the coefficient on x in the first equation:



Add this to the 1st equation:



Notice that the x variable has been eliminated.

Solve for y



Substitute this value for y into either of the original equations; let's use equation 2:









The solution set is then

Check:



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John