The solution to the systems of equations is (7, 3)
Given the systems of equations expressed as:
-x + 4y = 5 ....................1
x - 5y = -2 ...................... 2
Add both equations to have:
-x+x + 4y - 5y = 5 - 2
4y-5y = -3
-y = -3
y = 3
Substitute y = 3 into equation 1:
-x + 4(3) = 5
-x + 12 = 5
-x = 5 - 12
-x = -7
x = 7
Hence the solution to the systems of equations is (7, 3)
Learn more on simultaneous equations here: brainly.com/question/148035
We have the vertex (-4, -1), therefore we have:
Answer:
The system of inequalities is
The solution in the attached figure
Step-by-step explanation:
<u><em>The question is</em></u>
Write a system of linear inequalities.
Le
x ---> number of scarves knitted per week
y ---> number of knitted sweaters per week
we know that
Mary would like to spend no more than 40 hours per week knitting
The word "No more" means "less than or equal to"
so
----> inequality A
Mary would like to knit at least 5 items per week
The word "at least" means "greater than or equal to"
----> inequality B
Solve the system by graphing
The solution is the triangular shaded area
see the attached figure
I think you have to choose any numbers in the graph to solve for Rafael and Ava
6 inches of yarn make 1 bracelet.
5 feet of yarn make how many bracelets?
1 foot = 12 inches
5 feet = 12 * 5 inches = 60 inches
6 inches of yarn make 1 bracelet
60 inches of yarn make x bracelets
6/1 = 60/x
Cross multiply
6x = 60
x = 10
60 inches yarn make 10 bracelets.