Answer: the system has one solution which is x = 0, y = 5.
Explanation:
The pair of equations given constitute a system of two equations with two variables.
A system of linear equations may have a single solution, no solution (parallel lines) or infinite solutions (same line).
To find the solution or determine whether the system has one or infinite solutions, you may manipulate the equations.
This is the original systeym as given:
Multiply the first equation by 3 and the second equation by 2:
Subtract the first equation from the second:
Substitute x = 0 in any of the original equations to find y:
- 2y = 0 + 10
- 2y = 10
- y = 10 / 2
- y = 5
Hence, the system has one solution which is x = 0, y = 5.
Answer:
$36.8
Step-by-step explanation:
23*7.5=3.066666666666666666666666
3.0666666*12= 36.8
Carlos can put the blocks in this three ways:
(i) 32 large blocks and 4 small blocks.
(ii) 22 large blocks and 5 small blocks.
(iii) 12 large blocks and 6 small blocks.
The total quantity of blocks equals the number of blocks stored in the sets of blocks. Based on the information given, we derive the following algebraic expression:
,
(1)
Where:
- Quantity of small blocks.
- Quantity of large blocks.
Now we can clear
in terms of
:

(2)
From (2) we get the following combination of sets:
1) 
2) 
3) 
Carlos can put the blocks in this three ways:
(i) 32 large blocks and 4 small blocks.
(ii) 22 large blocks and 5 small blocks.
(iii) 12 large blocks and 6 small blocks.
We kindly invite to see this question on linear functions: brainly.com/question/3400735
multiply the whole number with the denominator then add the numerator over the denominator then find the common multiple.