[tex] \begin{cases} 6x - 2y = 10 \\ x - 2y = - 5 \end{cases}[/tex]
Solve the system of equations by eliminating either x-term or y-term. We will eliminate the y-term as it is faster to solve the equation.To eliminate the y-term, we have to multiply the negative in either the first or second equation so we can get rid of the y-term. I will multiply negative in the second equation.
[tex] \begin{cases} 6x - 2y = 10 \\ - x + 2y = 5 \end{cases}[/tex]
There as we can get rid of the y-term by adding both equations.
[tex](6x - x) + ( - 2y + 2y) = 10 + 5 \\ 5x + 0 = 15 \\ 5x = 15 \\ x = \frac{15}{5} \longrightarrow \frac{ \cancel{15}}{ \cancel{5}} = \frac{3}{1} \\ x = 3[/tex]
Hence, the value of x is 3. But we are not finished yet because we need to find the value of y as well. Therefore, we substitute the value of x in any given equations. I will substitute the value of x in the second equation.
[tex]x - 2y = - 5 \\ 3 - 2y = - 5 \\ 3 + 5 = 2y \\ 8 = 2y \\ \frac{8}{2} = y \\ y = \frac{8}{2} \longrightarrow \frac{ \cancel{8}}{ \cancel{2}} = \frac{4}{1} \\ y = 4[/tex]
Hence, the value of y is 4. Therefore, we can say that when x = 3, y = 4.
Answer Check by substituting both x and y values in both equations.First Equation
[tex]6x - 2y = 10 \\ 6(3) - 2(4) = 10 \\ 18 - 8 = 10 \\ 10 = 10 \longrightarrow \sf{true} \: \green{ \checkmark}[/tex]
Second Equation
[tex]x - 2y = - 5 \\ 3 - 2(4) = - 5 \\ 3 - 8 = - 5 \\ - 5 = - 5 \longrightarrow \sf{true} \: \green{ \checkmark}[/tex]
Hence, both equations are true for x = 3 and y = 4. Therefore, the solution is (3,4)
Answer[tex] \begin{cases} x = 3 \\ y = 4 \end{cases} \\ \sf \underline{Coordinate \: \: Form} \\ (3,4)[/tex]
Compare -3 and 9. Which of the following is true?
O A. 1-31 > 191 and -3 < 9
B. 1-31 < 19 and -3<9
C. 1-31 = 19 and -3 < 9
D. 1-31 > 191 and -3>9
Please I need help
Answer:
b :)
Step-by-step explanation:
If you simplify it you get:
|-3|<|9|
3 < 9
true
and -3 < 9
true
Solve x 2 + 2x - 1 = 0
Answer:
x=-1/2
Step-by-step explanation:
hope this helps
Which ordered pairs are solution(s) of y > 4x - 9? Select all that apply A (-1,3) B. (0, -9) C. (1.0) D. (2, 1)
Answer:
A.
C.
D.
Step-by-step explanation:
Use the x-coordinate in place of x and compare the solution to the y-coordinate. All of the answers to these options are true.
Hope it helps!
Parallelograms don’t understand
Answer:-43 + 9x = 0
Step-by-step explanation:Simplifying
9x + -43 = 0
Reorder the terms:
-43 + 9x = 0
Solving
-43 + 9x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '43' to each side of the equation.
-43 + 43 + 9x = 0 + 43
Combine like terms: -43 + 43 = 0
0 + 9x = 0 + 43
9x = 0 + 43
Combine like terms: 0 + 43 = 43
9x = 43
Divide each side by '9'.
x = 4.777777778
Simplifying
x = 4.777777778
Which trig ratio would you use to solve this?
O Sine
O Cosine
O Tangent
O Saskatchewan
Answer:
Cosine
Step-by-step explanation:
sine = soh=o/h
cos=cah=a/h
tangent=toa=o/a
If you look at right triangle the slanted line is the hypothese. it will always be. so thats h. the adjacent is the line connected the the angle you are looking for. and opposite is the line thats away from the angle.
Can you PLEASE write a paragraph of how tragicomic functions work PLEASE!!!
Sarah read 215 pages of her book during the first week of vacation. During the second week she read62 more pages then the first week
Answer:
She read 277 pages during the second week.
Step-by-step explanation:
215 + 62.
Answer: she read 277 books
Step-by-step explanation:
Angie has already written 19 pages, and she expects to write 1 page for every additional
hour spent writing. How many hours will Angie have to spend writing this week in order to
have written a total of 28 pages?
Answer:
[tex]9[/tex]
Step-by-step explanation:
[tex]28 - 19 = 9[/tex]
£800 is paid into a bank account that pays 3% simple interest
annually.
How much will be in the account after 1 year
Answer:
£824
Step-by-step explanation:
3% of 800 + 800
1% = ÷100
800 ÷ 100 = 8
8×3=3%=24
800 +24 =£824
2x+2 (1-4X) = 88-5 (x+4)7x + 2
Answer:
x=4/7
Step-by-step explanation:
PLEASE ANSWER I WILL GIVE BRAINLIEST AND LOVE U FOREVER!
Answer:
im not even sure this is right
Step-by-step explanation:
A=a+b 2h=2+1.1
2·3.4=5.27
What is the value of the expression 3x+9 if x=6
Answer:
27
Step-by-step explanation:
3(6)=18
18+9=27
Answer:
27
Step-by-step explanation:
You would use PEMDAS to solve this equation, P (parenthesis) E (exponates) M (multiply) D (divide) A (add) S (subtract). The way you use this is by following the steps in the order that you would spell PEMDAS, so 3x+9 would be 3•6+9. So look at the equation 3•6+9, so what would we use first? do we have parenthesis? No, Do we have exponents? No, Do we have multiplication? Yes, so multiply 3 and 6 = 18. Now the equation will look like this 18+9 = 27.
Hope this helps!
Today, 8 friends went out for lunch. Their total bill was $68.35, including tax and gratuity. One of them ordered only soda and needed to pay only $1.78.
The other 7 friends ordered the same daily special. How much did each of the other friends need to pay?
sil
3 with tiny 2 on top+1•2
Answer:
11
Step-by-step explanation:
3^2 + 1 • 2 = 11
NOTE:
'^' is the exponent symbol
There is a brick patio around a fire pit, as shown. Use 3.14 for pi.
What is the area of the fire pit?
Answer:
28.27
you just have to know the formula
Solve the system of equations using substitution.
y = -7x
2x - y = -9
Step-by-step explanation:
Since y= -7x you will want to substitute the y in the other equation.
2x -(-7x) = -9
2x + 7x = -9
9x = -9
so x will be -1
y= -7(-1)
x= -1
y= 7
Answer:
x = -1 , y =7 (-1,7)
Step-by-step explanation:
[tex]y=-7x\\2x-y = -9\\[/tex]
[tex]2x+7x = -9[/tex]
[tex]2x+7x = 9x\\[/tex]
[tex]9x = -9\\[/tex]
[tex]\frac{9x}{9} =\frac{-9}{9}[/tex]
[tex]x = -1\\[/tex]
[tex]y = -7(-1)\\y = 7[/tex]
A fern grows 7/9 of a foot per year. How much will it grow in 5 years
Answer:
46.6 inches in 5 years
Step-by-step explanation:
Answer: 46.6 inches in five years
Step-by-step explanation:
SO you wanna multiply 7.9 by 5 to get your grand total
What is he value of 9 2/3 minus 4 1/4
Answer:
65/12
Step-by-step explanation:
Answer:
245/12 IS ANSWER
Step-by-step explanation:
do you need an explanition for branliest?
If you have two horse pastures, one is. 25 feet by 45 feet and the other is 40 feet by 60 feet, what is the perimeter of the two horse pastures together? Only the perimeter;)
what is a linear equation that is perpendicular to y=5
For each expression, use a property to write an equivalent expression. Tell which property you used.
1. (ab)c =
2. 3y + 4y =
3. 6 x 7 =
Answer:
1. is the answer
Step-by-step explanation:
Because i did the test
What is the circle the triangle and the square
Answer:
26
Step-by-step explanation:
○= 7
□=5
◇=4 (The triangle)
Imagine you measure the length of 15 cars, and then sum that length, in order to see how big a parking lot must be. You do this in two different ways. First, you use the same bad tape measure for each car so that your measurement is always 1 cm too long, or always too short, for all of the measurements. For your second attempt, you use a different bad tape measure for each car, so there is an uncertainty of plus or minus 1cm in each measurement. What is your estimate of the total error in the sum of all the car lengths in these two cases
Answer:
± 15 cm
Step-by-step explanation:
In the first case, since the measurement is 1 cm too long or too short, the error is ± 1 cm.
In the second case, the uncertainty or error is also ± 1 cm.
Now, since there are 15 cars, and there is an error of ± 1 cm in each measurement, by the error formula the total error in the sum of both cases is 15 × ±1 cm = ± 15 cm
So, the total error in both cases is ± 15 cm.
on a family trip, albert counted two groups of four motorcycles and an additional five solo motorcycles. Write an expression for the number of motorcycles albert saw. then find the number of motorcycles.
what is the slope of negative 2y plus 6 equals 4x
Answer:
2
Step-by-step explanation:
The first step is to convert the equation to slope-intercept form (y = mx+b).
2y+6 = 4x
2y+6-6 = 4x-6
2y = 4x-6
2y/2 = 4x/2-6/2
y = 2x-3
In slope-intercept form (y = mx+b), m is the slope. 2 is m in the equation, so therefore it is the slope.
Arturo is driving at a speed of 50 miles per hour. At 2:00 he
sees the following sign.
Applebee
11 miles
Beauville
41 miles
Caanan
62 miles
Denton
98 miles
Arturo continues at the same speed. At 2:30 how far from
Caanan will he be?
A.
12 miles
B.
16 miles
C.
25 miles
D.
26 miles
E.
37 miles
Answer:
Your answer is 37
Step-by-step explanation:
Caanan is 62 miles away and since he drives at 50 miles per hour, and if it is 2:30 then 30 minutes is half a hour, which means you divide 50 in half by 2 and get 25. After you do that then you subtract 62 and 25 to get your answer 37. Have a good day!!! :)
9(2a + 1)
please help
Answer:
18a +9
Step-by-step explanation:
Brainliest?!?!!?
Step-by-step explanation:
If you want to expand it then,
9(2a+1)
= 18a + 9 (Ans)
Pls can anyone help il give more points plsss
Answer:
1. 25
2. 3 hours
3. from 10:00 am to 10:30 am because he went 10 miles in 30 minutes
Step-by-step explanation:
Write the equation. Solve for x.
Answer:
X = 3
Step-by-step explanation:
First count the amount of X's. There are 5 and it is plus two. Both sides should be equal in value so you have to set up your equation.
5x + 2 = 17
Then Solve For X
5x + 2 = 17
Subtract 2 from both sides
5x = 15
Divide by 5
X = 3
Check your answer
5(3) +2 = 17
15 + 2 = 17
17 = 17
It is correct!
Which of the following is equal to the expression listed below?
35 + 14
A.(7+5)(7+2)
B.7(5+2)
C.7+(5 times 2)
D.(7 times 5)(7 times 2)
