Answer:
(5,4)
Step-by-step explanation:
multiply each equation by the value that makes the coefficients of x opposite
(-1) · (4x + 6y) = (-1) · 44
4x + 2y = 28
simplify
-4x - 6y = -44
4x + 2y = 28
add the two equations together to eliminate x from the system
-4x - 6y = -44
<u>+ 4x + 2y = 28</u>
-4y = -16
divide each term by -4
y = 4
substitute the value for y into one of the original equations, then solve for x
-4x - 6y = -44
-4x - 6(4) = -44
-4x - 24 = -44
+ 24 + 24
-4x = -20
divide by -4
x = 5
so, since x = 5 and y = 4 ....
the solution to the independent system of equations can be represented as a point.
(5,4)
hope this helps! :)
Answer:
100
Step-by-step explanation:
Given that 2 ap's have same common difference
given that their 100th terms difference is 100
let the first no. of first series be a1 and second series be a2
then, a(1)100 - a(2)100=100 ---- 1
for 1st series ---- a100=a1+99d
2nd series ---- a100 = a2+99d
keep these values in (1)
then,
a1+99d - (a2+99d) = 100
a1+99d-a2-99d=100
therefore, a1-a2 =100 ------------------------------------------- 2
then the difference between their 1000th terms is
for 1st series --- a1000 = a1+999d
for 2nd series --- a1000 = a2+999d
their 100th terms difference is
a(1)1000-a(2)1000
a1+999d-(a2+999d)
a1+999d-a2-999d
therefore we get the value a1-a2
from (2) a1-a2 = 100
therefore the difference between their 1000th terms is 100
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Answer:
C) p + 24 = 56
Step-by-step explanation:
The total number of cookies baked = Number of cookies Ellie baked + Number of cookies Jamie baked
Ellie baked 24 chocolate chip cookies.
Jamie baked p peanut butter cookies.
Total of 56 cookies.
Hence:
56 = p + 24
Therefore, the equation that can be solved for p to find the number of cookies Jamie baked is
p + 24 = 56
Option C is the correct option
Answer:
x = 0
y = 2
Step-by-step explanation:
3x + 9y = 18 ---------eqn 1
y = x + 2---------eqn 2
Substitute eqn 2 into eqn 1, for the value of y
3x + 9( x + 2) = 18
3x + 9x + 18 = 18
12x + 18 = 18
12x = 18 -18
12x = 0
Divide both sides by 12 , to get the value of x.
12x/ 12 = 0/12
x = 0
Substitute x = 0 into eqn 2
y = x + 2
y = 0 +2
y = 2
Hint: to confirm the values
x = 0
y = 2
Let's take eqn 1 ,
3x + 9y = 18
3(0) + 9(2)
= 0 + 18
= 18
Correct
Let's take eqn 2
y = x + 2
Let's find y
y = 0 + 2
y = 2
Correct too
It is ROOT 34. Therefore none of the above.
