A system of equations is a collection of two or more equations with the same variables. When solving this system, u need to find the unknown variables. One way of solving a system of equations is by substitution.
example :
2x + 2y = 6 (equation 1)
3x + y = 4 (equation 2)
we need to pick a variable and isolate it. The easiest one to pick since it is already by itself is the y in the second equation.
3x + y = 4.....subtract 3x from both sides
y = -3x + 4
now we can sub -3x + 4 in for y in the 1st equation...u have to make sure u sub it back into the 1st equation and not the same equation u used to find it.
2x + 2y = 6.....sub in -3x + 4 in for y and solve for x
2x + 2(-3x + 4) = 6...distribute thru the parenthesis
2x - 6x + 8 = 6...subtract 12 from both sides
2x - 6x = 6 - 8...simplify
-4x = -2...divide both sides by -4
x = -2/-4
x = 1/2
now that we have a numerical number for x, u can sub this back into either of ur equations to find a numerical answer for y.
y = -3x + 4...when x = 1/2
y = -3(1/2) + 4
y = -3/2 + 4
y = -3/2 + 8/2
y = 5/2
so ur solution is : (1/2,5/2) <===
and u can check ur answers by subbing them into ur equations to see if they satisfy both equations...because for it to be a solution to this system, it has to satisfy both equations and not just one of them
Answer: 32 divided by 4 = 8
Step-by-step explanation:
If the diagram is 8 ovals with 4 squares each, and we know that this is a division, then we have that an unknown number X is such that:
X/4 = 8
this is because we know that the division is by 4 (the number of squares in each oval) and the solution of the division is the number of ovals.
Then we can solve the equation for X.
X/4 = 8
We multiply each side of the equality by 4
X = 4*8 = 32
Then the diagram represents the division:
32/4 = 8 or " 32 divided by 4 = 8"
Answer:
D is the answer!!
Step-by-step explanation:
so first you see all the numbers then you see that 0.45 is the least then you look to see and you see 2 problems that have 0,45 then you lokk at the second number there and D has 0.75 and you see that D have least to greatest!!
Answer:
Step-by-step explanation:
<u>Given function:</u>
<u>Initial population size is when t = 0</u>
- P(0) = 400(1.22)⁰ = 400(1) = 400
<u>The multiple of 1.22 is applied every year, so the ratio of change is:</u>
This is an exponential growth which represents 22% annual growth.
