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
Andreyy89
3 years ago
12

Solve the following system of equations algebraically: 4x - 5y = 18 3x – 2y = 10

Mathematics
1 answer:
fiasKO [112]3 years ago
8 0

Answer:

D

Step-by-step explanation:

Given the 2 equations

4x - 5y = 18 → (1)

3x - 2y = 10 → (2)

Multiplying (1) by 3 and (2) by - 4, then adding will eliminate the x- term

12x - 15y = 54 → (3)

- 12x + 8y = - 40 → (4)

Add (3) and (4) term by term to eliminate x, that is

- 7y = 14 ( divide both sides by - 7 )

y = - 2

Substitute y = - 2 into either of the 2 equations and solve for x

Substituting into (1)

4x - 5(- 2) = 18

4x + 10 = 18 ( subtract 10 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2

solution is (2, - 2 ) → D

You might be interested in
X/9 - 1 = 2 solve for x
Eddi Din [679]

Answer: x=27

Step-by-step explanation:

8 0
3 years ago
From the equation y−3=−2(x+1), identify the slope and a point on the line.
olga2289 [7]

Answer:

slope = - 2, point on line = (- 1, 3 )

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 3 = - 2(x + 1) ← is in point- slope form

with slope m = - 2 and (a, b ) = (- 1, 3 )

4 0
3 years ago
120 miles in 3 hours= ?<br>unit rate
7nadin3 [17]
D=rt
120= r(3)
120/3=3r/3
40=r
4 0
3 years ago
Read 2 more answers
PLEASE HELP I WILL GIVE OUT BRAINLIST
Viktor [21]

Answer:

x = 17

<2 = 121

Step-by-step explanation:

We know that angle 1 and angle 3 form a linear pair, which means they add to 180

7x+2 + 3x+8 = 180

Combine like terms

10x+ 10 = 180

Subtract 10 from each side

10x+10-10 = 180-10

10x = 170

Divide by 10

10x/10 =170/10

x = 17

Angle 1 and angle 2 are vertical angles and vertical angles are equal

<1 = <2 = 7x+2 = 7(17) +2 =119+2=121

7 0
1 year ago
You need to wrap a present that is in the shape of a rectangle prism. The present has a length of 8.5 inches, a width of 6 inche
Firlakuza [10]
Total area = 2*8.5*6 + 2*8.5*5.5 + 2*6*5.5  =  261,5 in^2  answer
6 0
2 years ago
Read 2 more answers
Other questions:
  • Logan genetically engineered a new type of fir tree and a new type of pine tree. The combined height of one fir tree and one pin
    8·1 answer
  • Whats 2.13×0.197 as a decimal
    7·2 answers
  • I need help with these two questions
    6·1 answer
  • Complete the solution of the equation. Find the value of y when x equals 4. -7x + y = -22
    7·1 answer
  • The population of a town doubled every 5 years from 1960 to 1975. What is the percentage increase in population in this period ?
    12·1 answer
  • 12.75 to the nearest tenth
    10·2 answers
  • Which represents the domain of the following relation? {(-6, 5), (-4, 3), (-1, 0), (4, 3)}
    13·1 answer
  • The radii of two right circular cylinders are in the ratio 3 : 4 and their heights are in the ratio 1 : 2. Calculate the ratio o
    10·1 answer
  • Find the zero when f(x)=3x-12
    7·1 answer
  • What is the gcf of 14/15
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!