Six times a number x, plus 4 times a number y, equals 14. Negative eight times x minus 4 times y equals -12. What are the number s?
1 answer:
Converting this into an equation, we get: 6x+4y=14 -8x-4y=-12 We can solve this by adding the system of equations. 6x+4y=14 + -8x-4y=-12 ------------------------- -2x=2 Simplifying, we get that x=-1 . We can replug this into one of the equations to get y. We'll choose 6x+4y=14 Plugging in -1 for x, we get that: 6(-1)+4y=14 which is -6+4y=14 which is 4y=20 Simplify this to get that y=5 To check, you can plug in x and y into both equations to make sure that they are true. 6(-1)+4(5)=14 -6+20=14 14=14 which is true -8(-1)-4(5)=-12 8-20=-12 -12=-12 which is true x=-1 and y=5 :)
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