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
viktelen [127]
2 years ago
10

The following set of linear equations 2x+2y=18 x+3y=17

Mathematics
1 answer:
NemiM [27]2 years ago
8 0

Answer:

x = 5

y = 4

Step-by-step explanation:

1. 2x + 2y = 18

2. x + 3y = 17

Multiply the first equation by 1 and the second equation by 2 to eliminate x

We have

2x + 2y = 18

2x + 6y = 34

Subtract equation 2 from equation 1

-4y = -16

Divide both sides by -4 to isolate y

-4y/-4 = -16/-4

y = 4

Now substitute 4 for y in either equation to get x. Using equation 2 we have

x + 3y = 17

x + 3 x 4 = 17

x + 12 = 17

Subtract 12 from both sides

x + 12 - 12 = 17 - 12

x = 5

x = 5 and

y = 4

You might be interested in
Segment FG begins at point F(-2, 4) and ends at point G(-2, -3). The segment is translated 3 units left and 2 units up, then ref
Alexus [3.1K]

Answer:

F'G' = 7

Step-by-step explanation:

Given

F = (-2,4)

G = (-2,-3)

Required

Distance of F'G'

The transformation that give rise to F'G' from FG are:

  • Translation
  • Reflection

The above transformations are referred to as rigid transformation, and as such the side lengths remain unchanged.

i.e.

F'G' = FG

Calculating FG, we have:

FG = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}

Where:

F = (-2,4) --- (x_1,y_1)

G = (-2,-3) --- (x_2,y_2)

FG = \sqrt{(-2 - -2)^2 + (4 - -3)^2}

FG = \sqrt{(0)^2 + (7)^2}

FG = \sqrt{0 + 49}

FG = \sqrt{49}

Take positive square root

FG = 7

Recall that:

F'G' = FG

F'G' = 7

6 0
2 years ago
1. The sales tax in New York is 8.25%. How much will an $83.99 jacket cost, including sales tax?
konstantin123 [22]
1.) $83.99 * 0.0825= $6.929175  round that to $6.93 add $83.99 +6.93=$90.92

2). $349.65 divided by 7 = $49.95 for each tree


3)V=l*w*h    13*11*16= 2288 cubic feet
4 0
2 years ago
What is the equation of a horizontal line passing through the point (−7, 5)?
blsea [12.9K]
Hello : 
an equation is : y-5 = 0( x+7)...(the slope =0 '<span> horizontal line ' )</span>                          y=5
4 0
3 years ago
Barb solved the following equation: 4(3x – 12) = 5(2x + 6)
katrin2010 [14]

Answer:

4(3 * 39 – 12) = 5(2 * 39 + 6)

x = 39


Step-by-step explanation:

4(3x – 12) = 5(2x + 6)

(12x - 48) = (10x + 30)

12x - 10x = 30 + 48

2x = 78

2x/2 = x

78/2 = 39

x = 39

No Prob :)

5 0
3 years ago
Read 2 more answers
The table shows the heights in feet of serval students in Mrs.Patels class.
Margarita [4]
I will need a picture of the table first <span />
8 0
3 years ago
Other questions:
  • If sin(3x+2)=cos(4x-10), what is the value of x to the nearest tenth?
    10·1 answer
  • HELP ILL MARK YOUR brainliest! And give extes points
    8·2 answers
  • A line has a rise of 3 and a run of 12. find the slope of the line. type a numerical answer in the space provided. if necessary,
    6·1 answer
  • To make an orange drink John uses 4 cups of water and 5 spoonfuls of powder. Joan
    6·1 answer
  • 12s 7s4 9s s2 5 5s4 2 identify like terms
    6·1 answer
  • Two number cubes are rolled. What is the probability that the first lands on 2 and the second lands on a number greater than 4?
    8·2 answers
  • Whatis two plus two​
    14·1 answer
  • Which object has the greatest inertia?
    7·1 answer
  • 2 ⅓ x + x? I will mark brainliest for the correct answer!
    13·1 answer
  • Equation: 7(2j + 3 + 2j).
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!