1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
gavmur [86]
2 years ago
9

X + 3y = 2 -x + 2y = 3 Can somebody help me?

Mathematics
1 answer:
Alisiya [41]2 years ago
4 0
X = -1 ; y = 1

x + 3y = 2, isolate x by subtracting 3y from both sides. Now that x is alone (because x = -3y + 2) take -3y + 2 and plug it into the second equation.

-(-3y + 2) + 2y =3 ; multiply what’s in the parenthesis by -1. It now is 3y -2 + 2y =3, add the common variables ( 3y + 2y) and you now have 5y-2=3. Move the 2 to the other side by adding it to both sides, you now have 5y=5, divide both sides by 5 and y=1.

Take any equation and plug y in for 1 to get x.

For example, (in the second equation), -x+2(1)=3, multiply 2 by 1 and you’re left with -x+2=3. Subtract 2 on both sides and you have -x=1, now divide both sides by -1 and x=-1.

You can check your work by plugging in the x and/or y values into the equations
You might be interested in
What is the y-int of the line given by the equation y=3x-11
cupoosta [38]

the y-intercept would be -11 because slope-intercept formula is always like this;   y = mx+b. b is y-intercept and m is slope. so therefore, it would be -11

4 0
3 years ago
The equation y= mx+b what's the b in the equation
andreyandreev [35.5K]

Answer:

The <em>b</em> is the y-intercept.

the <em>m</em> is the slope.

6 0
3 years ago
betty closes the nozzle and fills it completely with a liquid. She then opens the nozzle. If the liquid drips at the rate of 14
natta225 [31]

Answer:

4.71 minutes

Step-by-step explanation:

Incomplete question [See comment for complete question]

Given

Shape: Cone

r = 3 -- radius

h = 7 --- height

Rate = 14in^3/min

Required

Time to pass out all liquid

First, calculate the volume of the cone.

This is calculated as:

V = \frac{1}{3} \pi r^2h

This gives:

V = \frac{1}{3} * 3.14 * 3^2 * 7

V = \frac{1}{3} * 197.82

V = 65.94in^3

To calculate the time, we make use of the following rate formula.

Rate = \frac{Volume}{Time}

Make Time the subject

Time= \frac{Volume}{Rate }

This gives:

Time= \frac{65.94in^3}{14in^3/min}

Time= \frac{65.94in^3}{14in^3}min

Cancel out the units

Time= \frac{65.94}{14} min

Time= 4.71 min\\

3 0
2 years ago
Pam and Meg each have a picture frame. Pam’s picture frame is a square with an area of 3 square feet. Meg’s picture frame is a c
kondaur [170]

Answer:

The circumference of Meg’s picture frame is the perimeter of Pam’s picture frame by approximately 0.65 ft

Step-by-step explanation:

Pam's picture frame : Square with area of 3 sq. foot

Meg’s picture frame is a circle with a radius, r of 1 foot.

The circumference of Meg’s picture frame is the perimeter of Pam’s picture frame by approximately feet.

Let's calculate circumference of Meg's picture frame:

Circumference c, = 2πr

r = 1 ft

c = 2 * 3.14 *1 = 6.28 ft


Now calculate Perimeter of Pam's picture frame:

A is area of square and s is the side

A = s²

s² = 3

s = √3

Permeter of square = 4s

= 4√3 = 6.93ft

Now in order to find  circumference of Meg’s picture frame is the perimeter of Pam’s picture frame, we have to find their difference.

Permimeter of square frame - Circumference of circle frame = 6.93 - 6.28 = 0.65


8 0
3 years ago
A father walks 36 miles in 12 hours while his son covers the same distance on a bicycle at twice the father's rate of speed. At
anygoal [31]

it would be d.)54 miles

5 0
3 years ago
Read 2 more answers
Other questions:
  • Two pie pans of the same size remain on the counter. One pan has 1/2 of a pie, and the other has 3/4 of a pie left in it. Mom wi
    15·1 answer
  • there are 3 boys for every 2 girls in the class. there are 90 students total. how many total girls? how many total boys?
    13·1 answer
  • In a triangle, the ratio between the first and second angle is 1: 2 and the third angle is 65. Find the first and second angle o
    8·2 answers
  • Evaluate each expression when x=2, y=-5 and z=3 <br> xy-z
    8·1 answer
  • Write a number of grams between 10 and 20, and then write an equivalent amount in milligrams.
    5·1 answer
  • What is the obesity threshold weight for a young adult American male?
    13·2 answers
  • (-5,5)(5,0) help pls need the work shown as well ahaha!
    11·1 answer
  • What is the slope of the line that passes through the points (3, 2) and (-1,-4)?<br> m=
    11·2 answers
  • Someone Please help me on this question!
    7·1 answer
  • U( w f +u ) = m + j <br> solve for u : u=<br> solve for f :F=
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!