Use elimination to solve and match each system of equations to the correct solution.
2x-9y=-51
2x-3y=-9
I’ll mark brainliest to the first answer I get

Answers

Answer 1

[tex]\begin{cases}2x-9y=-51\\2x-3y=-9\end{cases}\\\\\\\begin{cases}(2x-9y)(-1)=-51(-1)\\2x-3y=-9\end{cases}[/tex]

[tex]\begin{cases}-2x+9y=51\\2x-3y=-9\end{cases}[/tex]     (adding the second equation to the first one)

[tex]\begin{cases}\qquad6y=42\\2x-3y=-9\end{cases}\\\\\\\begin{cases}\qquad y=7\\2x-3y=-9\end{cases}\\\\\\\begin{cases}y=7\\2x-3(7)=-9\end{cases}\\\\\\\begin{cases}y=7\\2x-21=-9\end{cases}\\\\\\\begin{cases}y=7\\2x=12\end{cases}\\\\\\\begin{cases}x=6\\y=7\end{cases}[/tex]


Related Questions

SOMEONE HELP WHAT IS g(x)= 3x-4; find g(-4)

Answers

I think the answer will be g(x)= -16

The ratio of boys to girls in the sixth grade is 2:3

1)If there are 24 boys, how many girls are there?

2)If there are 80 students, how many are girls?

Answers

Answer:

3*16=48 girls (further explination below)

Step-by-step explanation:

80/(2+3)=16, so since 3 in the ratio is for girls, there are 3*16=48 girls.

This is my first time answering :) your welcome

㏒ x = 5-x solve the equation

Answers

Answer:

x = 10 ^ 5 - x

Step-by-step explanation:

You need to invest in a graphing calculator my friend.

log10(x)=5-x

10^log10(x) = 10^5-x

x = 10^5-x

how to solve the value for x

Answers

Answer:

x>6;x>2 or just x>2 if u combine intervals

Step-by-step explanation:

x^2-8x+12>0

factor: (x-6)(x-2)>0

split: x-6>0; x-2>0

add 6 and 2: x>6;x>2

combine intervals: x>2

Please help!
Connor is 4 years younger than his brother.
Translate the verbal description into an equation. Use the variable c to
represent Connor's age and b to represent his brother's age.
A.c=b-4
B.b=c-4
C.b=4c
D.c=b+4

Answers

Answer:

A. c=b-4

Step-by-step explanation:

7y-9=3y+27 y= please help!

Answers

Answer:

Y=9

Step-by-step explanation:

Single out the variable, so subtract 3y from both sides.

7y-9-3y=3y+27-3y

4y-9=27

Then move the value to one side, so add 9 to both sides.

4y-9+9=27+9

4y=36

Then divide 36 by 4

4y/4=36/4

y=9

Juan purchased 16 lemons and used 5 on the first day of making lemonade. On the second day, he purchased 12 lemons and used 11. Juan wrote this expression to find how many lemons he should have left.

(16 – 5) + (12 – 11)

Answers

You do what is in the parentheses first and then add them together.
So:
11+1=12

Answer:

Juan purchased 16 lemons and used 5 on the first day of making lemonade. On the second day, he purchased 12 lemons and used 11. Juan wrote this expression to find how many lemons he should have left.

Step-by-step explanation:

11+1=12

Jose has $178.74 in his checking account. He wrote checks for $36.52, $18.92, and $25.93. He also deposited $300.00, $100.00, and $205.16. What is the final balance in Bob’s checking account?

Answers

Answer:

$702.53

Step-by-step explanation:

178.74

36,52+18.92+25.93=81.37

178.74-81.37=97.37

300+100+205.16=605.16

605.16+97.37=702.53

The final balance is 702.53 dollars.

Write an
equivalent expression by distributing the
sign outside the parentheses:
-(7v+1.1)

Answers

-(7v + 1.1) = -7v - 1.1

The equivalent value of the expression is A = -7v - 1.1

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = - ( 7v + 1.1 )   be equation (1)

Multiply by the value -1 throughout the brackets , we get

A = -1 ( 7v ) - ( 1.1 )

On simplifying , we get

A = -7v - 1.1

Hence , the expression is A = -7v - 1.1

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ7

If T is the midpoint of SU, what are ST, TU, and SU.
*Question 16*

Answers

We have ST=5x, TU=3x+32 and they're equal if T is the midpoint:

5x = 3x + 32

2x = 32

x = 16

ST = 5x = 80

So TU = 80 and SU=160

Answer: Second choice

The perimeter of a rectangle is 96 feet. The
length is twice the width. What is the length?

Answers

Answer:

Step-by-step explanation:

THE LENGTH OF THE RECTANGLE IS SIX LESS THAN TWICE THE WIDTH. FIND THE DIMENSIONS OF THE RECTANGLE. W=18 FOR THE WIDTH. 2*18-6=36-6=30 FOR THE LENGTH. (sorry caps)

The length is 30 because the width is 18. So 2•18-6=36-6=30

Which list shows the numbers in order from
greatest to least
A. 32.25, 322 32.5, 32
B. 323, 32.25,325, 32
C. 32, 325,32.25, 32
D. 323, 325,324 32.25

Answers

Answer:

A

Step-by-step explanation:

The Ratio of cats to dogs is 3:4. if there are 12 cats, how many dogs are there?

1. 6 dogs
2. 20 dogs
3. 16 dogs
4. 12 dogs

Answers

I think it is 16 dogs but I’m not sure

Easton paid $68 for his plastic interlocking block set. Colin paid $17 for his plastic interlocking block set. How many more times did Easton pay then Colin

Answers

Answer:

4 more times

Step-by-step explanation:

The question says that easton paid 68 dollars for the interlocking set

Colin paid 17 dollars for his own.

We are required to find how many more times easton paid than colin

To do this we divide 68dollars by 17 dollars

68/17

= 4 times

This tells us that compared to colin, easton overpaid for his own set by 4times. Easton paid 4 more times than colin

1. Draw diagrams illustrating the relationship between the following sets of real numbers: (a) rational and irrational numbers (b) rational numbers and integers (c) irrational numbers and whole numbers (d) integers and whole numbers

Answers

Answer:

umm there is no answer u have to make a diagram of the rational and irratinal or the area of numbers its not a letter u have to make a diagram

Step-by-step explanation:

B is the midpoint of AC
А
B
If:
AB = 62 – 7 and
BC = 5x - 3
Find AC

Answers

Answer:

            AC = 110    

Step-by-step explanation:

B being the midpoint of AC means:

AB = BC = 0.5AC  

AB = 0.5AC  ⇒  AC = 2AB

AC = 2(62 - 7) = 2×55 = 110

PLEASE SOLVE IF YOU CAN! Use order of operations to solve!! 6x3-^2-3^4x9+4^0

Answers

the answer is -674 :)


What is an equation of the line in point-slope form?


(3.8) and (7,5)

Answers

This is one equation y-5=-3/4(x-7)

Which of the following is supporting evidence of the given statement?

When dividing two numbers, the quotient is always less than the dividend.


A. −3÷(−14)=12

B. 14÷(−3)=−112

C. 3÷14=12

D. −14÷3=−112

Answers

Answer:

B

Step-by-step explanation:

killa queen disan no bakuda bites za dusto

(5-5)^2 - (6-5)^3 simplify the expression PLEASE HELP

Answers

Answer: 15

Step-by-step explanation:

(5-1)^2 - (6-5)^3

(4)^2 - (1)^3

16-1

=15

Hijvfnbddgyuhfsdvjutsfvjhrdxghtdghjuyffhjjyfcbnjggbh

Round 8015.80930968 to the nearest ten.

Answers

rounded to the tenths place is 8015.8

Answer:

8015.81

Step-by-step explanation:

because 9 is greater than 5, the 0 is increased by 1 and the rest of the numbers on the right had to be removed

Select the correct answer from the drop-down menu. There are two numbers. One number is twice the other number. The difference of the smaller number and half the larger number is 20. An equation created to find the smaller number will have .

A. one solution
B. no solution
C. many solutions

Answers

Answer:

one-solution

Step-by-step explanation:

I took the test.

how many times can 26 go into 57

Answers

Answer:

2 point something times

Answer:

2 times

I hope this helps!

-5x - 2y = 13
-4x + y = 0
Solve by substation

Answers

Answer:

(x,y)=(-1,-4)

Step-by-step explanation:

-4x + y = 0

+4x         +4x

y=4x

-5x - 2y = 13

+5x          +5x

-2y = 5x+13

-2(4x) = 5x+13

-8x=5x+13

-5x -5x

-13x/-13=13/-13

x=-1

Thus:

y=4x

y=4(-1)

y=-4

Please help me this is due in 20min please!!! i’m suppoes to make a graph of that... please someone.

Answers

Answer:

im assuming this is what you mean considering the little information given.

Step-by-step explanation:

Tommy purchased a riding lawnmower with an original value of
$2,500. If the value of the riding lawnmower decreases by $300 per
year, what should be the value of the lawnmower after five years?
A. $1,000
B. $1,300
C. $1,500
D. $ 2,200

Answers

A because 300 x 5 is 1500 and 2500 subtract 1500 is 1000 so A
A. Multiply the number of years and the decreasing cost, subtract that from the original value

Metric mania
How many shoes would it take to make 1 kilometer

Answers

Answer:

Well since my shoe is 8.5 inches, you will take 4 whole shoes to make a meter. Therefore, you will have to take 4,000 shoes to make a kilometer because 1 kilometer=1000. (:

Step-by-step explanation:

Write the domain and the range of the function as an inequality, using set notations, and using interval notation. Also describe the end behavior of the function or explain why there is no end behavior (19 points and brainliest)

Answers

Answer:

Step-by-step explanation:

I think we need to define domain and range first.

Domain is the set of all x values where the function f(x) exists or is defined.

Range is the set of all y values that will result from substituting all x values (the domain) into the function.

So for g(x) = 2x - 2 we can evaluate g(x) at any point, and we will get a real answer for y.

So the range of g(x) = 2x -2 is also all real numbers, because no matter what value of x is, we can always multiply that number by 2 and subtract 2.

The inequality does not affect the domain and range of linear functions at all. Don't confuse domain and range with a solution to an inequality. These two concepts are different. Domain and range mean all possible values of x and y that could be substituted into the inequality. A solution means all possible values that make the inequality statement true.

The domain as an inequality would be -∞ < x < ∞

The range as an inequality would be -∞ < y < ∞

As a set notation:

Domain {x | -∞ < x < ∞}

Range {y | -∞ < x < ∞}

In interval notation:

Domain (-∞ , ∞)

Range (-∞ , ∞)

End behavior:

As x gets larger and larger, g(x) gets larger and larger as well, and as x gets smaller, g(x) gets smaller too.

A pilot needs to know the maximum height an aircraft can fly at. The cabin has
been tested and is safe to a height of 15679 m.
Round this height appropriately: to a whole number of on and to a whole 100m. Please help.

Answers

round it to a whole number of 100 m witch i think would be 15700 m

also i dint realize it said round it to a whole number and to 100 m so it would also be a whole number of 16000 i think if not this than 20000

To a whole number 16000 and to a whole 100m would be 15700

q(x)=4/5x-9 q(x)=3 PLEASE HELP

Answers

Answer:

  x = 15

Step-by-step explanation:

Put the given information in the equation and solve for the variable.

  3 = 4/5x - 9

  12 = 4/5x . . . . . . . . . . . . . . add 9 to get the x term by itself

  (5/4)(12) = (5/4)(4/5)x . . . . multiply by the inverse of the x coefficient

  15 = x

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