This week I learned how to turn system word problems into equations by observing specific word that translate into math’s you first start of by declaring variables in the equation like x and y and then You search for words that mean the equal sign such as equal, is, was, will, are and most verbs. Another thing to know is that some word mean that you switch numbers like “from” an example of this is 10 from a number translates to x-10, another word that switches is “than” which can be showed through the sentence 5 is less then 10 which equals 10-5 then In general you can identify basic math terms. using all of these tools you can use them to identify and form equations and solve the systems with the different ways we have learned before. For money problems the variables we use are how many of each value like dimes or worth 0.1 dollars so the variables are how many and if we had quarter too which or worth 0.25 dollars then if we know how many we have in total which for example is 30 coins we can make and equation “d+q=30” if we know how much value of the dollars we have which is 4.20 dollars we can make the equation 0.1d+0.25=4.20 then we simply solve to find out how many of each coin we have in this situation which is 22 dimes and 8 quarters.

This week I learned how use substitution to find the solution of a system to first off you should look at one of the equations and isolate the variable that has a coefficient of either 1 or -1 to make it easier then it should look something like this 2y-3=x then in the other equation substitute the same variable you isolate into it so it would look like this 2(2y-3)+3y=6 and then isolate the y which would equal to this y=12/7 now we now that the solutions y is 12/7 we just have to input it into the original equation to find the x which is x=3/7 so the solution is          (3/7, 12/7).  you can also find the solution by simply plotting the linear equation on a graph and finding the points that match. you can also do elimination by simply multiplying either one or both equations so that either when the x or y s of both added together equals zero and the combining it altogether and isolating the non zero coefficients to get an answerhttps://myriverside.sd43.bc.ca/spencerd2021/wp-admin/post.php?post=634&action=edit#

I first started of by sectioning off parts of the graph and for the lines I made sure to use some different slopes and for each line I check where it stop and made a line according to that. what was easy was finding the domain and range for each equation. what was difficult was not make every line the same just because it looked better and find the y intercept