Answer:
It is (−4, 2) and lies on both lines.
Step-by-step explanation:
The system of equations shown below is graphed on a coordinate grid:
4y + x = 4
2y − x = 8
(a) (2, 5), Plug in x= 2 and y=5 in the given equations
4(5) + 2 = 4 --------> false
2(5) - 2=8 --------->True
(b) (-4,2)
4(2) -4 = 4 --------> True
2(2) − (-4) = 8 ------> True
for (-4,2) both equations are true , so it lies on both lines
It is (−4, 2) and lies on both lines.
hope this helps in the picture below :)
Answer:
240 people.
Step-by-step explanation:
When the train arrived in London there were 318 people.
If 134 of those people didn't get on the train until Slough they need to be subtracted from that number. 318-134=184.
At Slough there were also 56 people who didn't go all they way to London and got off the train, these people need to be added. 184+56=240.
So we now know that 240 people were on the train when it left Oxford.
Hope this helps! :)
y = 4x + 6
What is the solution to the system of equations?
(−3, 18)
(−3, −18)
(3, −18)
(3, 18)
For a system of equations to have no real solution, the lines of the equations must be parallel to each other. The solution of the system of equation y = 5x + 3 and y = 4x + 6 is (3,18).
Inconsistent System
For a system of equations to have no real solution, the lines of the equations must be parallel to each other.
Consistent System
1. Dependent Consistent System
For a system of the equation to be a Dependent Consistent System, the system must have multiple solutions for which the lines of the equation must be coinciding.
2. Independent Consistent System
For a system of the equation to be an Independent Consistent System, the system must have one unique solution for which the lines of the equation must intersect at a particular.
The solution of the system of equations can be done as shown below, therefore,
Equation 1: y = 5x + 3
Equation 2: y = 4x + 6
Substitute the value of y from the first equation in the second equation, therefore,
y = 4x + 6
5x + 3 = 4x + 6
5x - 4x = 6 - 3
x = 3
Substitute the value of x in any one of the equation,
y = 5(3) + 3
y = 15 + 3
y = 18
Hence, the solution of the system of equation y = 5x + 3 and y = 4x + 6 is (3,18).
Learn more about System of equation:
#SPJ2
y=5x+3
y= 4x+6
Let's solve y=5x+3 for y
Substitute 5x+3 for y in y=4x+6
y=4x+6
5x+3=4x+6
Add -4x
5x+3-4x=4x+6-4x
x+3=6
Add -3
x+3-3=6-3
x=3
Now substitute 3 for x in y=5x+3
y=5x+3
y= (5)(3)+3
y= 15+3
y= 18
Answer D
(3,18)
I hope that's help:)