# math project

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• Do you know how to solve systems of equations by substitution?﻿
• Yes what you do is you have two equations and you see which one has a variable and plug it in the the other equation you are using. ﻿
• Do you have any examples of it? ﻿
• Yes, an example is y=-3x+6 and -x=2 ﻿
• Now we have to do the first step of trying to solve it. ﻿
• ﻿The first step is to replace one variable in the other equation so there is only X or Y.  So y=-3x+6 and -x-2 would be -3x+6-x=2
• So that means that the second step is to solve for the variable, right? ﻿
• ﻿Correct! So -3x+6-x=2  2x+6=2 -6=-6 2x=-4 2x/2=-4/2 x=-2
• Can you help me figure out the final step for solving systems by using substitution.
• Sure, you ask yourself how you use it to find y. And that would look something like this y=-3(-2)+6 y=6+6 y=12 ﻿
• Now all we have to do now is put the solutions into an equation.
• ﻿Yes and the equation would be (-2, 12)
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