Answers
Answer:
(-1, 1)
Step-by-step explanation:
Hi there!
We want to solve the system of equations given as:
2x-3y=-5
3x+y=-2
Let's solve this equation by substitution, where we will set one variable equal to an expression containing the other variable, substitute the expression as the variable that it equals, solve for the other variable (the variable that the expression contains), and then use the value of the solved variable to find the value of the first variable
In the second equation, we have y by itself; therefore, if we subtract 3x from both sides, then we will get an expression that y is equal to.
So subtract 3x from both sides
y=-3x-2
Now substitute -3x-2 as y in the first equation.
It will look something like this:
2x - 3(-3x-2)=-5
Now do the distributive property.
2x+9x+6=-5
Combine like terms
11x+6=-5
Subtract 6 from both sides
11x=-11
Divide both sides by 11
x=-1
Now substitute -1 as x in the equation y=-3x-2 to solve for y:
y=-3(-1)-2
multiply
y=3-2
Subtract
y=1
The answer is x=-1, y=1; this can also be written as an ordered pair, which would be (-1, 1)
Hope this helps!
If you would like to see another problem for additional practice, take a look here: https://brainly.com/question/19212538
[tex]\begin{cases} 2x-3y=-5\\ 3x+y=-2 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ 2x-3y=-5\implies 2x=3y-5\implies x=\cfrac{3y-5}{2} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{substituting on the 2nd equation}}{3\left( \cfrac{3y-5}{2} \right)+y=-2}\implies \cfrac{3(3y-5)}{2}+y=-2 \\\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{2\left( \cfrac{3(3y-5)}{2}+y \right)}=2(-2)\implies 3(3y-5)+2y=-4 \\\\\\ 9y-15+2y=-4\implies 11y-15=-4\implies 11y=11[/tex]
[tex]y=\cfrac{11}{11}\implies \blacktriangleright y=1 \blacktriangleleft \\\\\\ \stackrel{\textit{since we know that}}{x=\cfrac{3y-5}{2}}\implies x=\cfrac{3(1)-5}{2}\implies x=\cfrac{-2}{2}\implies \blacktriangleright x=-1 \blacktriangleleft \\\\[-0.35em] ~\dotfill\\\\ ~\hfill (-1~~,~~1)~\hfill[/tex]
Related Questions
someone please help with this question :)!
Answers
Write 9,030,800 in expanded form.
Answers
Answer:
9 million 30 thousand 800 hundred
Step-by-step explanation:
i think this is what u mean by expanded form
pls mark brainliest i need 1 more
What is the equation of this line?
y= 2x - 3
y= -1/2x- 3
y= -2x - 3
y= 1/2x - 3
Answers
Answer:
First option) y= 2x - 3
Step-by-step explanation:
[] The y-intercept, our b, is -3. This does not rule out any of the options as they all have -3.
[] The slope, when we have a graph with clear points, can be found with rise-over-run. We will pick a point and then count up and over to the next point.
-> Starting at the y-intercept, (0, 3), we count up 2 and to the right 1 for a slope of 2/1. This simplifies to 2.
[] Our equation is y = 2x - 3
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
Write an equation of the circle with center (-6, 2) and diameter 10.
Answers
Solution:
Formula: (x + 6)² + (y – 2)² = 5²h = x coordinatek = y-coordinateFirst, let's find the radius of the circle.
Diameter: 10 unitsRadius: 10/2 units = 5 unitsNow, let's create an equation:
(x – h)² + (y – k)² = r²Replace the given values of variables into the equation.
=> (x + 6)² + (y – 2)² = 5²Image attached~
Learn more: https://brainly.com/question/26508068
6.
Write the equation of a line through points (5, 5) and (1, 0) in point-slope form.
Answers
Answer: [tex]y=\frac{5}{4} x-\frac{5}{4}[/tex]
B
a
A
b
Find the missing side c if Angle B -45 and side a=13
Round your answer to the nearest hundredth if necessary.
Answers
help help help help help help help
Answers
1- 1 1/2
2- 5.3
3- t=5
t=15
t=6
What are all the solutions of x2 + 3x4 07
Answers
Answer:
One could be just rewriting it in standard form
Step-by-step explanation:
3x^4+x^2+7
(^=to the power of)
help find area pls :(
Answers
Answer:
Total area = 26.13 ft²
Step-by-step explanation:
area of a triangle = 1/2 x base x height
From inspection, the base of the triangle = 3 x 2 = 6
and the height of the triangle = 4
⇒ area = 1/2 x 6 x 4 = 12 ft²
area of a semicircle = [tex]\frac{1}{2}\pi r^2[/tex]
⇒ area = [tex]\frac{1}{2} \times 3.14 \times 3^2[/tex]
⇒ area = 14.13 ft²
Total area = 12 + 14.13 = 26.13 ft²
1. The sum of two numbers is 20.5. Their
difference is 6.5. Find the two numbers.
Answers
Answer:
13.5 and 7
Step-by-step explanation:
x + y = 20.5
× - y = 6.5
Hence,
x =20.5 - y
20.5 - 2y = 6.5
Hence,
2y = 14
and x = 20.5 - 20.5 - 7 = 13.5
Hope that helps :))
Answer:
The two numbers are 7 and 13.5
Step-by-step explanation:
Let the two numbers be x and y
Make 3 equations (for system of equation and substitution method)
Equation 1. x - y = 6.5
Equation 2. x = 6.5 + y
Equation 3. x + y = 20.5
Use the value of x in equation 2 to substitute x in equation 3.
6.5 + y + y = 20.5
Combine like terms
6.5 + 2y = 20.5
- 6.5 on both sides
2y = 14
Divide both sides by 2 to isolate y
y = 7
Substitute y in equation 3 to find x
x + 7 = 20.5
x = 13.5
Hope this helps :)
Have a great day!
write a numerical expression to represent the phrase the sum of 25 and the cube of 9; evalute
Answers
Step-by-step explanation:
25 + 9³ = 25 + 81 = 106
remember, the cube of a number means to multiply it with itself 3 times (for a squared number that would be 2 times).
9³ = 9×9×9
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division
The value of the expression 25 + 9³ is 754.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The sum of 25 and the cube of 9.
This can be written as,
25 + 9³
= 25 + 729
= 754
Thus,
The value of the expression 25 + 9³ is 754.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
Patrick managed to sell the 20th most bicycles last year of all the salespeople at the company.He also managed to sell the 20th least bicycles last year of all the salespeople at that company.How many salespeople were there at that company?Assume that no one sold the same number of bicycles than another
Answers
definitely missing a number so it's prolly something like
a/20=20
sorry if this doesn't help you didn't give us much to work on
Write the function represented by the table in f (x) = a • b ^x form.
Answers
Answer:
[tex]f(x)=32(1.3)^x[/tex]
Step-by-step explanation:
Here, the growth factor is 1.3 since 32(1.3)=41.6, 41.6(1.3)=54.08, and so on.
Therefore, the function that represents the table is [tex]f(x)=32(1.3)^x[/tex]
A bag contains 4 red marbles, 3 blue marbles and 6 green marbles. If two marbles are
drawn out of the bag, what is the probability, to the nearest 1000th, that both
marbles drawn will be red?
Answers
Answer:
~0.143
Step-by-step explanation:
So, in total there are 15 marbles, and only 6 of them are red. So the first draw will have a chance of being red. Since you didn't mention placing it back, the next draw will have a chance of being red. It's , because you just took a red one out of the bag (leaving 5 left) and the total was lessened by one. To get the answer, you'd multiply both numbers together.
6/15 x 5/14 = 1/7 or (roughly) 0.143
-6= -15r+9s. Solve for s
Answers
Answer:
(5r-2)/3 = s
Step-by-step explanation:
-6= -15r+9s
Add 15r to each side
-6+15r= -15r+15r+9s
15r-6 = 9s
Divide each side by 9
(15r-6)/9 = 9s/9
(5r-2)/3 = s
which expression is equivalent to 12^-5 times 12^9?
a. 1/12^-45
b. 12^-45
c. 1/12^4
d. 1/12^-4
Answers
Answer:
D. 1/12^-4
Step-by-step explanation:
[tex]12^{-5}*12^{9}[/tex]
Since both exponents have the same base, we can add the exponents to get:
[tex]12^{-5+9}=12^{4}[/tex]
We can cross out A and B since they multiplied the two exponents, therefore both answers are wrong.
Now, let's try C and D.
C is wrong because it has a different base being raised to the same power.
D is correct. When you have a negative exponent, it is equivalent to the reciprocal of the base to the positive exponent.
The reciprocal of 1/12 is 12, and the positive of -4 is 4, therefore the answer is D.
Answer:
12^14
Step-by-step explanation:
It's the correct answer
The first triangle is dilated to form the second triangle. What id the scale factor?
A. 50
B. 5
C. 2
D. 0.5
Answers
Answer:
0.5
Step-by-step explanation:
10/5=0.5, or one half.
The function m is given in three equivalent forms. Which form most quickly reveals the zeros (or "roots") of the function? Choose 1 answer: (Choice A) m ( x ) = − 2 ( x − 6 ) 2 + 18 (Choice B) m ( x ) = − 2x^2 + 24x - 54 (Choice C) m ( x ) = − 2 ( x − 3 ) ( x − 9 ), Write one of the zeros
Answers
Answer:
Choice C
Step-by-step explanation:
Choice C already has X factored into a form which can readily be set equal to zero.
Eg. X - 3 = 0 and X - 9 = 0
To find the zeroes, simply solve for X
Answer:
this is the real correct answer
Step-by-step explanation:
What is the quadratic equation whose roots are 2 and 6, and whose leading coefficient is 5
Answers
Answer:
5x^2-8x + 12
Step-by-step explanation:
the formula for finding roots of equation is
x^2- (sum of roots)x + products of roots =0
and we already have the roots of the equation
so we add them to give 8
and multiply to give 12
hence the quadratic equation that has those roots with leading coefficient is 5x^2-8x + 12=0
make L the subject of formula
[tex]v = \frac{1}{2} lbh[/tex]
Answers
Answer:
T^2=4π^2*L/G
L=(T^2*G)/4π^2
Step-by-step explanation:
hope this helps
Answer:
[tex]v = \frac{1}{2} lbh \\ \\ \\ l = v \div ( \frac{1}{2} bh) \\ \\ l = v \times \frac{2}{bh} \\ \\ l = \frac{2v}{bh} [/tex]
FILL IN THE BLANK TO MAKE THE NUMBER SENTENCE TRUE.
6 X 2/
= 6
Answers
If you don’t know the answer please don’t comment.
1.) Given f(x) = x3 + 1 and g(x) = −x + 1 what is the value of (fg)(−4)?
A.) 315
B.) -315
C.) 225
D.) -225
2.) Given f(x) = x2 + 1 and g(x) = 3x, find (fg)(x).
A.) (fg)(x) = x2 + 3x + 1
B.) (fg)(x) = 3x^2 + 1
C.) (fg)(x) = 3x^3 + 1
D.) (fg)(x) = 3x^3 + 3x
Answers
Answer: FOR NUMBER 2 (B)
Step-by-step explanation:
2. (fg)(x) = f (3x)
= (3x)2 + 1 = 3x^2 + 1 —> B
5. Which of the following is not shown in the
figure at the right?
A. a line intersects parallel lines
B. there are intersecting lines
C. there are perpendicular lines
D. two lines are parallel
//
Answers
(I’m pretty sure but if I’m wrong I apologize in advance)
Question 10 please help and show step by step working out
Answers
Answer:
P and Q must have some relation f their integers but it doesn't give a value
Step-by-step explanation:
Answer:
The answer is
[tex]8 + \sqrt{48} [/tex]
NEED HELP QUICK!!
This circle is centered at the point (2,6), and the length of its radius is 7. What is the equation
of the circle?
Answers
Answer:
(x - 2)² + (y - 6)² = 49
Step-by-step explanation:
Equation of a circle formula: (x - a)² + (y - b)² = r²
where (a, b) is the center of the circle and r is the radius
Given, center = (2, 6) and radius = 7
Substitute this information in the equation of a circle formula.
⇒ Equation of the circle: (x - 2)² + (y - 6)² = 49
HELP PLSSSSSSSSSSSSSSSSSSSSSSSSSS
Answers
Answer:
Can't see answer it's blank
Step-by-step explanation:
Any help would really be helpful :D
Answers
Answer:
here,
4×35=n×10
140=10n
140/10=n
n=14
Hope this helps you!
Answer:
See below.
Step-by-step explanation:
4 n
_ = _
10 35
You cross multiply. You get 140=10n.
140=10n
_ _
10 10
n=14
You have your answer. ✌️
AAAA!!!HELP QUICK!!!
Answers
Answer:
x= 58°
Step-by-step explanation:
if 32° and x is a 90° angle,
32+x = 90
x = 90 - 32
x = 58°
May someone please help me with these equations I am struggling thank you very much
Answers
Answer: see attachment
Step-by-step explanation:
111111111111111111111111111111111111111111111
Answers
Answer:
40 in
Step-by-step explanation:
The Pythagorean theorem tells you the relationship between the sides of a right triangle.
b^2 +75^2 = 85^2
b^2 = 85^2 -75^2 = 1600
b = √1600 = 40
The length of the missing side is 40 inches.
explanation is in the picture
hope this helps! (: