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:
Step-by-step explanation:
The area of a sector with measure 
in degrees is given by 
, where 
is the radius of the sector.
What we're given:
Solving, we get:
*Notes:
- units should be in square meters (area)
- the problem does not say whether to round or leave answers in term of pi, so you may need to adjust the answer depending on what your teacher specifically wants
Answer:
matt sold 310.86
Step-by-step explanation:
first add bob's worth and cathy's worth, 189.21 +232.46=421.67. then subtract the answer by the total amount they all had, 732.53 - 421.67 = 310.86
Answer:
The tall of the flag pole is 51 ft answer (A)
Step-by-step explanation:
∵ The tall of the man = 6 ft
∵ The his shadow = 10 ft
∵ The shadow of the flag pole = 85 ft
∵ Tall of the man/tall of the flag = shadow of the man/shadow
of the flag
∴ 6/x = 10/85 ⇒ where x is the tall of the flag
∴ x = (6 × 85) ÷ 10 = 510 ÷ 10 = 51 ft
∴ The tall of the flag pole is 51 ft
