Answer:
Step-by-step explanation:
When using the substitution method we use the fact that if two expressions y and x are of equal value x=y, then x may replace y or vice versa in another expression without changing the value of the expression.
Solve the systems of equations using the substitution method
{y=2x+4
{y=3x+2
We substitute the y in the top equation with the expression for the second equation:
2x+4 = 3x+2
4−2 = 3x−2
2=== = x
To determine the y-value, we may proceed by inserting our x-value in any of the equations. We select the first equation:
y= 2x + 4
We plug in x=2 and get
y= 2⋅2+4 = 8
The elimination method requires us to add or subtract the equations in order to eliminate either x or y, often one may not proceed with the addition directly without first multiplying either the first or second equation by some value.
Example:
2x−2y = 8
x+y = 1
We now wish to add the two equations but it will not result in either x or y being eliminated. Therefore we must multiply the second equation by 2 on both sides and get:
2x−2y = 8
2x+2y = 2
Now we attempt to add our system of equations. We commence with the x-terms on the left, and the y-terms thereafter and finally with the numbers on the right side:
(2x+2x) + (−2y+2y) = 8+2
The y-terms have now been eliminated and we now have an equation with only one variable:
4x = 10
x= 10/4 =2.5
Thereafter, in order to determine the y-value we insert x=2.5 in one of the equations. We select the first:
2⋅2.5−2y = 8
5−8 = 2y
−3 =2y
−3/2 =y
y =-1.5
4/11 = 0.36 (repeat: 36)
5/11 = 0.45 (repeat: 45)
6/11 = 0.54 (repeat: 54)
7/11 = 0.63 (repeat: 63)
Answer:
78
Step-by-step explanation:
Find the prime factorizations of the two numbers:
26 = 2 * 13
39 = 3 * 13
The LCM is the product of common and not common factors with the higher exponent.
LCM = 2 * 3 * 13 = 78
Answer: 78
Answer:
y=x-4 or f(x)=x-4
Step-by-step explanation:
therefore, x=1 ,y=-3; x=2, y=-2 ; etc
Answer:
k
Step-by-step explanation:
