Answer:
$11
Step-by-step explanation:
we can set up an equation to answer the question. a first payment of 28 plus some amount monthly for a year equals 160. so,
12x + 28 = 160
subtract 28 from both sides
12x = 132
divide by 12 and we get our answer
x = 11
y= 2x - 5
The solution to the system of equations is x = 5 and y = 5. The coordinates (5, 5) represent the point where the two lines intersect in the xy-plane, and it is the unique solution to this system of linear equations.
Given that the system of equations:
y = 3x - 10 (1)
y = 2x - 5 (2)
Since both equations are set equal to y, equate the right-hand sides of the equations since they represent the same value of y:
3x - 10 = 2x - 5
Now, let's solve for x:
3x - 2x = -5 + 10
x = 5
Now, found the value of x, substitute it back into either of the original equations to find the corresponding value of y.
Let's use the equation (1):
y = 3x - 10
y = 3(5) - 10
y = 15 - 10
y = 5
Hence, the values of x and y are 5 and 5. The system of equations have unique solution.
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Complete question:
Solve the system of equations for x and y:
If you're looking for a solution for both equations and had a choice between the 3 ways of solving it, I would choose substitution for this problem. So..
2x-5=3x-10
Move like terms to their own sides.
Take 2x away from both sides, and add 10 to both sides. That should leave you with
5=x
Now that you have the x, plug it into the equation that works best for you to solve.
That should be y=2(5)-5
y=10-5
y=5
(5,5) is your solution.
I say BC
Answer:
BC is correct
Step-by-step explanation:
The diameter is a line drawn from one point on the circumference (C), through the centre (A) to the point (B) opposite point C
Hence diameter is BC
Answer:
The solution to the system of equations is (8,11)
Step-by-step explanation:
A system of linear equations includes the line that is created by the equation y = x+ 3
The line through the points (3, 1) and (4, 3)
Equation of line =
Equation of line =
Equation of line =y-1=2x-6
Equation of line =y=2x-5
On a coordinate plane, a line goes through (0, 3) and (2, 5).
Equation of line =
Equation of line =y=2x+3
Plot all lines on graph
y = x+ 3 ---- Blue line
y=2x-5 --- Green line
y=2x+3 ---- Purple line
Refer the attached figure :
Hence the solution to the system of equations is (8,11)
Answer:
C: (8,11)
Step-by-step explanation: