# Math Comic

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#### Storyboard Text

• Systems of Linear Equations﻿
• ﻿Hello class, today we will be learning different linear equations and how to solve them.
• Elimination Method: ﻿ -24x + 8y = 4 -6x + 2y = 17 To solve this equation Elimination Method would be the easiest because they are lined up and can be added. After you add them you turn the result into y intercept form, and you end up with y = 3x + 7
• ﻿How to solve Linear Equations Elimination Method and Substitution Method
• ﻿How to solve Linear Equations Elimination Method and Substitution Method
• ﻿﻿Substitution Method:  3x - 5y = 44 x = 2y + 13 For the substitution method requires you to plug the second equation into the first so you can solve. After plugging it in we get 3(2y + 13) - 5y = 44 6y + 36 - 5y = 44 y + 36 = 44 44 -  36 = 8 y = 8
• ﻿12x - 3y = 9 4x - y = 3 These equations can be solved with the elimination method, they can be divided by the same number and you get  y = -4x + 3 as your final equaiton
• ﻿One Solution
• y = 3x + 8 y = 3x + 6 You can tell these are No solution because they have the same slope, the only difference is the y intercept.
• ﻿No Solution
• ﻿2x - y = 4 6x - 3y = 12 If you try to solve this equation you will end up with the same number on both sides meaning they can be any number.
• Infinite Solution﻿
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