1) The expressions are not equivalent. When you expand and multiply 2(x + 3) it becomes 2x + 6. This is not equal to 3x + 5
2) They are equivalent. Again, expand and multiply the second expression. 2(3n + 4) becomes 6n + 8. This makes both sides equal.
3) They are equivalent. In the parentheses, you are adding 3 y's and a 2. This gives you 3y + 2. Now add the additional 3y that follows the closed parentheses. You'll have 6y + 2. Now both sides are equivalent.
Answer:
b=-1
Step-by-step explanation:
3(b+2)+2(b-3)=-5
3b+6+2b-6=-5
5b=-5
b=-1
Answer:
In solving a system of linear equations, we try to find values for each of the unknowns that will satisfy every equation in the system
Step-by-step explanation:
The system of equations that Sam can use is given by:
A 13b + 4t =327.50, 6b + 2t = 142.96
<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 b: Cost of a bush.
- Variable t: Cost of a tree.
The first order was for 13 bushes and 4 trees, and totaled $327.50, hence:
13b + 4t = 327.50.
The second order was for 6 bushes and 2 trees, and totaled $142.96, hence:
6b + 2t = 142.96.
Which means that option A is correct.
More can be learned about a system of equations at brainly.com/question/24342899