Answer:
Step-by-step explanation:
hello :
1) the system is : y=5x+4
y = 2x+1
so :5x+4 =2x+1
5x-2x=1-4
3x= -3 so : x= -1 but y =2x+1 put x=-1 you have : y =-1
the solution : (x,y) =( -1, -1)
2) the system is : x + y = 4
4x -y = 1
means : y = - x+4 (line red)
y= 4x-1 (line blue)
graficly : intrsection is : (x,y) =(1 ,3 )
The solution of x in the given expression
is 4. However, if it is
, it is 6.
<h3>What is the solution to algebraic expression?</h3>
The solution to the given algebra expression involving surds can be seen in the steps below.
Given that:

Remove the square roots, we have:
12x - 32 = 4x² - 48x + 144
Solving the quadratic equation at the RHS and equating it to LHS, we have:
x = 11, x = 4
Verifying the solutions by replacing the value of x with the given equation:
Therefore, we can conclude that the value of x = 4
NOTE:
Given that:

Square both sides
3x - 7 = x +5
Solve for x
3x - x = 5 + 7
2x = 12
x = 6
Learn more about solving to algebraic expressions here:
brainly.com/question/4344214
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the answer is d 180 because it is 6 times six which equals 36 then multiply by 5 equals 180
Answer: Shana bought 2 sodas.
Shana bought 5 bags of popcorn.
Step-by-step explanation:
Let S represent the number of sodas that Shana bought.
Let B represent the number of bags of popcorn that Shana bought.
Shana bought 7 things from the concession., all either sodas or bags of popcorn. This means that
S + B = 7
Sodas cost $3 each and popcorn cost $4 per bag. Shana spent a total of $26. This means that
3S + 4B = 26 - - - - - - - - - - - - -1
Substituting S = 7 - B into equation 1, it becomes
3(7 - B) + 4B = 26
21 - 3B + 4B = 26
- 3B + 4B = 26 - 21
B = 5
S = 7 - B = 7 - 5
S = 2