Answer:
Different ways to solve a system of linear equations:
- isolate one variable in one equation and replace it in the other equation
- multiply/divide one equation by a constant and then add/subtract it to the other one, so that only one variable remains
- graph the equation and look at the intersection point
If you graph the system:
- there is only one solution if the lines intersects at only one point
- there is no solution if the lines don't intersect each other (they are parallel)
- there are infinitely many solutions if the lines overlap each other (they are the same equation multiplied by some constant)
Step-by-step explanation:
1st system
y = -x – 7
y = 4/3 x – 7
solution: x= 0, y = 7
2nd system
y = -3x – 5
y = x + 3
solution: x = -2, y = 1
3rd system
y = -2x + 5
y = 1/3 x – 2
solution: x = 3, y = -1
4th system
3x + 2y = 2
x + 2y = -2
solution: x = 2, y = -2
5th system
x + 3y = -9
2x – y = -4
solution: x = -3, y = -2
6th system
x – 2y = 2
-x + 4y = -8
solution: x = -4, y = -3
7th system
5x + y = -2
x + y = 2
solution: x = -1, y = -3
Answer:
See below
Step-by-step explanation:
"Like terms" are terms with the same variable or exponents.
You can add or subtract these just like you would with regular numbers.
Examples:
2x + 4x = 6x
5xy + 7xy = 12xy
6
+ 5 = 11
Let me know if you need more examples or have any questions :)
Answer:
7
Step-by-step explanation:
Answer:
It depends if you agree or disagree
Step-by-step explanation:
Agree= it'll help the society bring back endangered animals to prevent them becoming excinct or even bring back extinct ones that have gone extinct over the years
Disagree = it won't be as accurate and can harm still living species, it can also lead to more killing of the animals for their fur/teeth, it'll also be difficult to find surrogate mother animals
The number of teachers is 4 and number of students is 10 on the trips if the tickets were $22.00 each for teachers and $8.50 each for students.
<h3>What is linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
In Maths museum tickets were $22.00 each for teachers and $8.50 each for students, and the group paid $173.00 in total.
Let's suppose the number of teachers is x and number of students is y
22x + 8.5y = 173 ...(1)
5.5x + 2y = 42 ...(2)
After solving the above equation by substitution method we get;
From equation (1):
Multiply by 2 with equation (1)
y = 10
x = 4
Thus, the number of teachers is 4 and number of students is 10 on the trips if the tickets were $22.00 each for teachers and $8.50 each for students.
Learn more about the linear equation here:
brainly.com/question/11897796
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