Answer:
1. (0,4)
2. because x-3 would fall on the line eventually
3. decreasing
Step-by-step explanation:
1. System B from System A by replacing one equation with itself where the same quantity is added to both sides
2. Yes, both system A and system B are equivalent and therefore has the same solution
<h3>How to prove the statements</h3>
System A
x − 4y= 1
5x + 6y= −5
System B
x = 1+4y
5x + 6y= −5
1. System B can be gotten from system A by
from the first equation of A
x − 4y= 1
Make 'x' subject of formula
x = 1 + 4y
This makes it equal to tat of system B
Thus, replacing one equation with itself where the same quantity is added to both sides
2. System A
x = 1 + 4y
5x + 6y= −5
System B
x = 1 + 4y
5x + 6y= −5
From the above equations, we can see that both system A and system B are equivalent and therefore has the same solution.
Learn more about linear equations here:
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Move the 1st equation to get y by itself so it’s now y=-4x so you can substitute that in for the second equation 2y+x=-7 becomes 2(-4x)+x=-7
-8x+x=-7
-7x=-7
x=1
then plug that back in to find y
4(1)+y=0
4+y=0
y=-4
now you have x and y so your coordinate (the answer) is (1, -4) hope this helps!
Answer:
220 candy bars
Step-by-step explanation:
Let the number of candy bars sold=c
Let the number of fruit snacks sold=f
A total of 650 items were sold.
Candy bars are sold for $2.50
Fruit snacks are sold for $1.50
Total Income =$1,195
- Therefore: 2.5c+1.5f=1195
We solve the resulting system of equation for c, the number of candy bars sold.
From the first equation, f=650-c
Substitute f=650-c into 2.5c+1.5f=1195
2.5c+1.5(650-c)=1195
2.5c+975-1.5c=1195
Collect like terms
2.5c-1.5c=1195-975
c=220
Therefore, 220 candy bars were sold.
Answer: 0.4
Step-by-step explanation: To find 20% of 2, first write 20% as a decimal by moving the decimal point two places to the left to get .20.
Next, the word "of" tells us to multiply so we multiply .20 by 2.
(.20) (2) = 0.4
Therefore, 0.4 is 20% of 40.
