[tex] \begin{cases} x - y = - 2 \\ 4x - y = 4 \end{cases}[/tex]
Use the elimination method as it is faster. We have to eliminate the y-term. (You can eliminate the x-term but it takes longer than eliminating y-term.)Simply multiply the negative one in one of the equations.
[tex] \begin{cases} - x + y = 2 \\ 4x - y = 4 \end{cases}[/tex]
We can finally eliminate the y-term by adding both equations.
[tex]( - x + 4x) + (y - y) = 2 + 4 \\ 3x + 0 = 6 \\ 3x = 6 \\ x = \frac{ 6 }{3} \longrightarrow \frac{ \cancel{6}}{ \cancel{3}} = 2 \\ x = 2[/tex]
Substitute the value of x in any given equations. I will substitute in the first equation.[tex]x - y = - 2 \\ 2 - y = - 2 \\ 2 + 2 = y \\ 4 = y[/tex]
Check the answer by substituting the value of x and y in both equations.First Equation
[tex]x - y = - 2 \\ 2 - 4 = - 2 \\ - 2 = - 2 \longrightarrow \sf{true} \: \: \green{ \checkmark}[/tex]
Second Equation
[tex]4x - y = 4 \\ 4(2) - 4 = 4 \\ 8 - 4 = 4 \\ 4 = 4 \longrightarrow \sf{true} \: \: \green{ \checkmark}[/tex]
Hence, the solution is (2,4).
Answer[tex] \begin{cases} x = 2 \\ y = 4 \end{cases}[/tex]
Coordinate Form
[tex](2,4)[/tex]
Please help me! I need an answer before 3:30!
Answer:
2
Step-by-step explanation:
Answer:
LCM: 1
Step-by-step explanation:
1/2 and 1/4
so we want to find a multiple.
double both we get:
1 and 1/2
but then what if we just double 1/2?
1 and 1 :OOOOO
LCM IS 1
but it's 6:18 P:M for me?
Student Council has 24 boys as members and 16 girls as members. Using this ratio,
if there were 3 boys, how many girls would there be?
Answer:
2 girls
Step-by-step explanation:
24 boys and 16 girls gives a ratio of 3 boys for every 2 girls
Answer:
2 Girls
Step-by-step explanation:
24 boys to 16 girls
Divide both sides by eight
24 ÷ 8 = 3 and 16 ÷ 8 = 2
3 Boys to 2 Girls
I hope this helps
w
Dan's circular
pool has a
circumference of
18.84 meters.
What is the
diameter of the
pool?
(use
13.14)
IS
Answer:
6 MetersExplanation:
Diameter = Circumference ÷ πCircumference: 18.84
π: 3.14
18.84 ÷ 3.14
= 6 MetersI HAVE THE EQATION I NEED THE INDEPENDENT AND DEPENT VARBLE
Answer:
The independent variable is the number of bushels of corn with the dependent variable being the cost per bushel.
Step-by-step explanation:
The dependent variable depends on the independent variable. The cost per bushel depends on the availability of bushels.
Hank is thinking of a number. If he multiplies his number by
seven and then adds 10, he gets 59. What is Hank’s number?
System of equations!!!
Answer:
Step-by-step explanation:
1. x^2-x-20=3x-15
x=5, x=1 substitute
y=3*5-15 = 0
y=3*(-1)-15 = -18
Solution: (5,0) & (-1,-18)
2. x^2+2x+3=x+5
x=-2, x=1 substitute
y= -2+5 = 3
y=1+5 = 6
Solution: (-2,3) & (1,6)
Find the measure of Angle 2 - i will give brainliest if right!
Answer:
53 degrees
Step-by-step explanation:
Makayla has a smart phone data plan that costs $45 per month that includes 2 GB of data, but will charge an extra $20 per GB over the included amount. How much would makayla have to pay in a month where she used 3 GB over the limit? How much would makayla have to pay in a month where she used went over by x GB?
Answer:
65?..................
PLEEASEEE HELP ME NOONE WILL HELP ME PLEASE HELP ME
Answer:
63.97 sheets of paper
Step-by-step explanation:
40-18.25 = 21.75
21.75 divided by 0.35 = 63.97
A school is arranging a field trip to the zoo. The school spends 673.86 dollars on passes for 31 students and 2 teachers. The school also spends 267.53 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student?
Answer:
$21.73 for a pass, and $8.63 for a lunch
Step-by-step explanation:
673.81/31= 21.73
267.53/31=8.63
Hope this helps
What is the solution set for the inequality.
t - 9 ≤ 8
A
{18, 19, 20, 21}
B
{17, 3, 14, 25}
C
{17, 20, 30, 44}
D
{8, 11, 15, 17}
Answer:
c) }17,20,30,44}
Step-by-step explanation:
sana po Tama ako..
PLEASE HELP! WILL MARK THE BRAINLIEST!
These might be easy, just try
Casey is looking at a used car on sale for $16,999. Suppose that Casey is able to get $1,100 off in trade for the old vehicle. The sales tax rate is 7.25%. How much will Casey pay in taxes on the reduced sales price? Round to the nearest cent if necessary.
Answer:
1152.68
Step-by-step explanation:
16999-1100=15899
7.25 percent of 15899 is 1152.6775
rounded 1152.68
A bag contains 42 red, 45 green, 20 yellow, and 32 purple candies. You pick one candy at random. Find the probability that it is purple. Simplify your answer completely Help Resources P(purple) = ? Enter
Answer:
red=42 green=45 yellow=20 purple=32.
total number=121
p(that is purple)=32/121 =3.78
Plz help I have no idea how to do this... What is an equation of the line that passes through the point (-2,-3) and is parallel to the line 4x-y=1?
Answer:
y = 4x + 5
pls give the brainliest
Step-by-step explanation:
I need some help plz
Answer:
98
Step-by-step explanation:
6(3) + 10(8) = 18 + 80 = 98
Answer:
98
Step-by-step explanation:
plug x and y in
Solve the equation for all values of x in simplest form:
(x - 2)2 = 49
Name a plane that contains AC.
plane RCA
plane WRT
plane ACR
plane WCT
It would be defi
Step-by-step explanation:
I think it definetly would be acr
plsssssss help me
I will give u 10 points
(4,4)(8,5)(-4,2) find slope intercept forum
Answer:
y =1/4 x + 3 i think
Step-by-step explanation:
Solve for x \dfrac{x}{5} = \dfrac{8}{9}
5
x
=
9
8
Answer:
8
Step-by-step explanation:
The value of x in fraction is 40/9.
What is fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
x/5 = 8/9
Now, solving for x we get
x= 8/9 (5)
x = 40/ 9.
Hence, the value of x is 40/9.
Learn more about Fraction here:
https://brainly.com/question/10354322
#SPJ2
What line passes through (4,-5) ; m=6
Answer:
I cant tell you the answer but think of this formula.
Step-by-step explanation:
Amanda plans on going to the amusement park this Friday. It costs $25.00 to
enter the park, and then $1.25 for every ride that Amanda goes on. What will be
the total cost if Amanda goes on 9 rides?
Answer:
$36.25
Step-by-step explanation:
To enter the park, Amanda pays 25 dollars.
+$25
It costs 1.25 for every ride that Amanda goes on.
Since we don't know the number of rides Amanda goes on, we will add a variable to represent the number of rides.
1.25x
Then, the passage says that Amanda goes on 9 rides. So, substitute 9 for x.
Equation: 25+1.25(9)
Then solve:
$36.25
Select the situation that describes the expression given below.
A.
Janey is given cups of flour for making cookies. She only uses of a cup of the flour.
B.
Jean has pounds of grapes. He gives of a pound of grapes to Roy.
C.
Elroy cuts meters of rope into pieces that are each of a meter long.
D.
Von runs around a jogging track times. The jogging track is of a kilometer long.
Answer:
the awnser should be. c
Step-by-step explanation:
because shes cutting them which divides them
Find the slope of the line that passes through (4,-5) and (-2,9)
a -2/3
b 5/3
c -7/3
d 2
Please help me
Answer:
C) -7/3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(9-(-5))/(-2-4)=(9+5)/-6=14/-6
simplify -14/6 to -7/3
A scientist has
18
quarts of a solution. If the scientist pours out half of the solution, exactly how many cups of the solution remain?
Answer:
SOLUTION??? And btw thanks for free pts...
Step-by-step explanation:
the formula for simple interest is
Answer:
p(r+1)
Step-by-step explanation:
Hope this helps
Answer:
I= prt
Step-by-step explanation:
P=Principle
R= Rate
T=Time
What is the Area of 28in circle rounded to the nearest hundred
Answer:
The circumference is similar to the perimeter in that it is the total length needed to draw the circle.
We note the circumference as c.
c = 2πr
or
c = πd
This depends on whether or not you know the radius (r) or the diameter (d)
Let’s calculate one manually, for example.
If r = 6 cm, then the circumference is c = 2π(6) = 12π cm, if writing in terms of π. If you prefer a numerical value, the answer rounded to the nearest tenth is 37.7 cm.
Suppose you only know the diameter? If the diameter is 8 cm, then the circumference is c = π(8) = 8π or 25.1 cm, rounded to the nearest tenth.
Step-by-step explanation:
tell me what -28 + (-80) equals please i need help
a + 14 < 19
Solve the inequality
Answer: a>5
Step-by-step explanation:
Answer:
a < 5
Step-by-step explanation:
a + 14 < 19
a < 5
