3(x+6y)+4=9y+19
The solution of the system 4x + 1 = 5(x - 3y) - 6 and 3(x + 6y) + 4 = 9y + 19 is x = 16/3 and y = -1/9.
One or many equations having the same number of unknowns that can be solved simultaneously are called simultaneous equations. And the simultaneous equation is the system of equations.
To solve the system of equations:
4x + 1 = 5(x - 3y) - 6
3(x + 6y) + 4 = 9y + 19
We will first simplify each equation by expanding the brackets and combining like terms:
4x + 1 = 5x - 15y - 6
- > 4x-5x = -15y-6-1
-> -x = -15y-7
-> x = 15y+7
3x + 18y + 4 = 9y + 19
-> 3x+9y=15
-> x+3y=5
Now we have two equations:
x = 15y + 7
x + 3y = 5
We can substitute the expression for x in the second equation:
15y + 7 + 3y = 5
Simplifying and solving for y, we get:
18y = -2
y = -1/9
Now that we know y, we can substitute this value back into either equation to solve for x. Let's use the first equation:
x = 15y + 7
x = 15(-1/9) + 7
x = 16/3
Therefore, the solution to the system of equations is:
x = 16/3 and y = -1/9.
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Answer:
x = 15y + 7
x = -3y + 5
Blouses priced $3 below the oothers. The total
Cost was $91.50 . Find the price of the blouses
The cost of the three blouses will be $28.5 while the total cost is $91.50.
Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Let's say the cost of the first three blouses is x dollars.
Then.
Total cost = 3x + 2(3)
3x + 6 = 91.50
3x = 85.5
x = 28.5
Hence "The cost of the three blouses will be $28.5 while the total cost is $91.50".
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