1. Joe- 2+b (or 2+1b)
Micheal- 2b
2. Joe- 2+10=12
Micheal- 2x10=20
3. one distributes and the other just adds regularly.
Answer: x = 7 , y = 3
Step-by-step explanation:
Since they are integers , it means they are whole numbers.
Let the first number be x and the second number be y , then ,interpreting the question , we have
x + y = 10 ...................................... equation 1
x - y = 4 ........................................ equation 2
solving the resulting simultaneous linear equation by substitution method.
From equation 2 , make x the subject of the formula, that is
x = 4 + y .............. equation 3
substitute x = 4 + y into equation 1 , equation 1 becomes
4 + y + y = 10
4 + 2y = 10
subtract 4 from both sides
2y = 10 - 4
2y = 6
divide through by 2
y = 3
substitute y = 3 into equation 3 to find the value of x
x = 4 + y
x = 4 + 3
x = 7
Therefore : x= 7 and y = 3
Using a system of equations, it is found that there are 10 baskets that hold 4 meals in the shop.
<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 given by:
- Variable x: Number of baskets that hold 2 meals.
- Variable y: Number of baskets that hold 4 meals.
There are 25 baskets in the shop, hence:
x + y = 25 -> x = 25 - y
They can hold a total of 70 meals, hence:
2x + 4y = 70
2(25 - y) + 4y = 70
2y = 20
y = 10
There are 10 baskets that hold 4 meals in the shop.
More can be learned about a system of equations at brainly.com/question/24342899
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