Answer:
infinite number of solutions
Step-by-step explanation:
y = 4x - 11 → (1)
4x - y = 11 → (2)
Substitute y = 4x - 11 into (2)
4x - (4x - 11) = 11 ← distribute parenthesis on left side
4x - 4x + 11 = 11 ( subtract 11 from both sides )
0 = 0 ← true statement
This indicates the system has an infinite number of solutions
The equivalent equation after applying distributive property will be:
(2*x) - (2*5) = 56 + (6*x) - (6*5)
Further explanation:
Distributive property states that the number is distributed to the sum or difference it is being multiplied to i.e.
a(b+c) = a*b + a*c
So the given equation is:
2(x - 5) = 56 + 6(x - 5)
2 will be distributed to x-5 and 6 will be distributed to x-5
The equivalent equation will be:
Keywords: Equations, Distributive property
Learn more about distributive property at:
#LearnwithBrainly
Step 1:
4y + x = 15
−9x + 5y = 20
Step 2: correct
4y + x = 15
x = 15 − 4y
Step 3: wrong
4y + x = 15
4y + (15 − 4y) = 15 wrong step
4y + 15 − 4y = 15
15 = 15
***once you have solved for a variable in one equation, you substitute it in the other equation
Corrected Step 3:
−9x + 5y = 20
-9(15 - 4y) + 5y= 20
(-9*15) + (-9*-4y) + 5y= 20
-135 + 36y + 5y= 20
-135 + 41y= 20
add 135 to both sides
41y= 155
divide both sides by 41
y= 155/41 or 3 32/41 or 3.78
ANSWER: The x value in step 2 should have been substituted in the opposite equation in step 3. The y solution would then be 155/41 or 3 32/41 or 3.78
Hope this helps! :) Would love to be marked brainliest.
Um, 150000? Don't write this inmetily because it may be wrong.
Answer:
12 months
Step-by-step explanation:
Theres an awful amount of needless information to get through.
Only the last paragrph is needed.
C(t) = 180 + 10t
C(t) = 25t
Set the equations equal
25t = 180 + 10t
Subtract 10t from both sides
15t = 180
Divide both sides by 15
t = 12
