Week 14 – Math 10

One thing I learned this week was how to solve systems using substitution.

The first step to solving systems using substitution is to find the two equations you’re trying to solve.

Ex.

x+5y=-5

x-2y=6

The next step is to pick one equation and isolate the x or y.

Ex.

x+5y=-5 -> x=-5y-5

The next step is to substitute that equation you just isolated into the other equation using brackets.

Ex.

x-2y=6 -> (-5y-5)-2y=6

The next step is to solve the equation.

Ex.

(-5y-5)-2y=6 -> -7y=6+5 -> 7y=11

7y/7=11/7

y=11/7

The next step is to substitute the number just found back into the rearranged equation.

x=-5(11/7)-5

x= 2.85714285714

Answer: (2.9, 1.6)

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