y=-2x-4
solve by substitution
Answer:
x = − 3
Step-by-step explanation:
Let's solve your equation step-by-step.
− 2x − 4 = x + 5
Step 1: Subtract x from both sides.
− 2x − 4 − x = x + 5 − x
− 3x − 4 = 5
Step 2: Add 4 to both sides.
− 3x − 4 + 4 = 5 + 4
−3x = 9
Step 3: Divide both sides by -3.
−3x / −3 = 9 / −3
x = − 3
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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:
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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:)
83×93 is not the prime factorization of 7,719 because 93 is not a prime number:
93 = 3×31
Therefore the prime factorization of 7,719 is 83×3×31.
Answer:
Because it isn't a prime number
(1, 4), (2, 6), and (3, 7)
B.
(1, 4), (2, 8), and (3, 12)
C.
(3, 7), (5, 9), and (7, 10)
D.
(3, 7), (5, 9), and (7, 11)
Answer:
d
Step-by-step explanation: