# Simulatenous Equations

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• Good morning class!﻿
• Simultaneous Equations﻿
• Good morning Mr. Mance!﻿
• Today I will teach you simultaneous equations﻿
• 4x+2y=20 6x-3y=6﻿
• Always remember to do the same process on both sides!﻿
• 4x+2y=20 6x-3y=6﻿
• -4x
• /2
• Today you will learn how to solve simultaneous equations...
• y=20-4x/2﻿
• Let´s take a look at the following example:
• 6x-3(20-4x/2)=6 6x-30+6x=6 12x-30=6 12x=36 x=3
• It´s all quite easy, this part you already know﻿
• Isolate a variable in one of the equations
• y=20-4(3)/2 y=20-12/2 y=8/2 y=4﻿
• Yay!!!﻿
• Finished!! :)
• This should be your result﻿
• Sbstitute the variable into the second equation, expand the brackets and solve for x
• Now that we know x=3, we simply have to substitute 3 into the first equation﻿
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