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Answer:
x = 1 and y = -2
Step-by-step explanation:
Given that,
2x-3y = 8 ..(1)
4x+3y = -2 ..(2)
Add equation (1) and (2),
2x-3y+4x+3y = 8+(-2)
6x = 6
x = 1
Put the value of x in equation (1).
2-3y = 8
2-8 = 3y
-6 = 3y
y = -2
Hence, the value of x is 1 and that of y is -2.
109x is the expression that could be used to determine the total number of cupcakes made given that a parent made x cupcakes for each of the 109 students in the fourth grade. This can be obtained by forming the algebraic expression for the given conditions.
<h3>Find the required expression:</h3>
- Algebraic expression is made up of numbers, operations and variables.
- Algebraic expression is true for all values of x.
- For example, 2x, 5x + 9 etc.
Given that,
A parent made x cupcakes for each of the 109 students in the fourth grade.
The total number of students in the class = 109
The number of cupcakes one student gets = 1 × x = x
⇒ The number of cupcakes 109 student gets = 109 × x = 109x
Hence 109x is the expression that could be used to determine the total number of cupcakes made given that a parent made x cupcakes for each of the 109 students in the fourth grade.
Learn more about algebraic expression here:
brainly.com/question/953809
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Answer: 2/3
Explanation: the difference between -14 and -10 is 4 and in fractions x/y. so we have 4/y. the difference between -18 and -12 is 6 so we have 4/6 but we can simplify that to 2/3.