Step-by-step explanation:
We will solve this system of equations using two methods: elimination and substitution.
Method 1: Elimination
2x - y = -8. #1
-5x + y = 26. #2
Note that by adding these two equations, the y-variable is eliminated (thus the name) and you're only left with an equation with one variable. So upon adding, we get
-3x = 18 or x = -6
Using this value for x, put this back in either one of the equations. Let's use the 2nd one.
-5(-6) + y = 26
--> 30 + y = 26
Moving 30 to the right side, we get y = -4.
Method 2: Substitution
This is done by isolating one variable to the left side in one equation and then using it on the other equation. Let's take equation #2 and put the y-variable on the left side and you should get
y = 5x + 26
Now use this equation and plug it into the y in equation #1:
2x - (5x + 26) = -8
--> 2x - 5x - 26 = -8
--> -3x = 26 - 8 = 18 or <u>x</u><u> </u><u>=</u><u> </u><u>-</u><u>6</u><u>.</u>
Use this value for x into either one of the equations. Let's use equation #1 this time.
2(-6) - y = -8
--> -12 + 8 = y or <u>y</u><u> </u><u>=</u><u> </u><u>-4</u><u>.</u>
Notice that using either method will give you the same result, as one might expect.
Answer:
She can make cookies for 4.95 weeks
Step-by-step explanation:
2 x 1 2/3 = 3.333333333
16.5/ 3.333333333 = 4.95
Since Jordan is making two batches of Cookies per week, you need to multiply 2 by the amount of resources needed to bake one batch of cookies. So you multiply 1 and 2/3 by 2 to get the amount of resources neccesary for one week of making cookies. Then, you take the full amount of resources that she has, and divide that by the amount she uses per week, that number will give you the number needed to figure out how many weeks she has to bake cookies.
To figure out the number that is being divided to get the whole number in weeks, you would take the 16.5 cups of flour. The reason why this is, is because that Is the starting number of cups that she has. So here you would need to divide the amount you are taking from it each week. This will result in the amount of weeks that she is able to bake cookies with her flour.
Add $10.01 + $9.94 which is $19.95
Than divide $70.00 by $19.95 and you get 3 shirts with money left over.
Answer:
(270+150)/(2020-2000)= 21 - average rate of change in the height per year
A line has 0 endpoints and extends forever in 2 directions and a point has 1 endpoint and extends forever in 0 directions.