Answer:
x=-1
y=-1
Step-by-step explanation:
-6x + 5y =1 ......equation (1)
6x + 4y = –10 ......equation (2)
adding equation (1) to equation (2)
9y=-9
9y/9 =-9/9 (dividing both side by the coefficient of y)
y=-1
subtituting the value of y =-1 into equation (2)
6x+4(-1)=-10
6x+(-4)=-10
6x-4=-10
6x=-10+4(making constant to be at one side and the variable at the other side)
6x=-6
x=-6/6
x=-1
Answer:
Step-by-step explanation:
if you modify the parent function to go <u>up and down</u>
for example parent function is y=|x| to go <u>down</u> 3 you do y=|x|-3
if you modify the parent function to go <u>left and right</u>
for example parent function is y=|x| to go <u>right </u>3 you do y=|x-3|
a.goes down 3, and 2 to the right
y=|x-2|-3
b. 3 down and 1 to the left
y=(x+1)²-3
c. 5 up and 2 to the right
d. 1 up and 5 to the right
2 it’s literally just where the line crosses on the y axis
Using a system of equations, it is found that Debbie worked 45 hours during the week.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable x: Amount of hours worked by Juan.
- Variable y: Amount of hours worked by Debbie.
Juan and Debbie each earn 9 per hour at their "jobs", and earned a total of 765 for the week, hence:
9x + 9y = 765
Simplifying the expression by 9:
x + y = 85 -> x = 85 - y.
Debbie worked five hours more than juan during the week, hence:
y = x + 5.
Since x = 85 - y, we replace in the expression:
y = 85 - y + 5.
2y = 90.
y = 45.
Debbie worked 45 hours during the week.
More can be learned about a system of equations at brainly.com/question/24342899
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Answer:
male comedy: 31 male drama: 9
female comedy: 36 female drama: 24
Step-by-step explanation:
add f+m=100 total
31 males for comedy
40 males - 31 males = 9 males for drama
55% chose comedy so 55-31 males = 24 females for comedy
60 total females - 24 for comedy = 36 females for drama
