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
prohojiy [21]
3 years ago
5

Solve the system 2x-2y=10 4x-5y=17

Mathematics
2 answers:
stiv31 [10]3 years ago
8 0
Multiply 2x-2y=10 by 2,
4x-4y=20,
given:4x-5y=17
y=3
pluck it in
2x-6=10
move the 6 to the right
2x=16
divide
x=8
y=3
gladu [14]3 years ago
4 0
Equation 1)  2x - 2y = 10
Equation 2)  4x - 5y = 17

Multiply ALL of equation 1 by 2.

1)  2(2x - 2y = 10)

Simplify.

1)  4x - 4y = 20
2)  4x - 5y = 17

Subtract equations from one another.

y = 3

Plug in 3 for y in the first equation.

1)  2x - 2y = 10

2x - 2(3) = 10

Simplify.

2x - 6 = 10

Add 6 to both side.s

2x = 16

Divide both sides by 2.

x = 8

------------------------------------
Check your work by plugging in 8 for x, and 3 for y into the original equations.

2x - 2y = 10 & 4x - 5y = 17

1)  2x - 2y = 10

2(8) - 2(3) = 10

Simplify.

16 - 6 = 10

10 = 10 

2)  4x - 5y = 17

4(8) - 5(3) = 17

Simplify.

32 - 15 = 17

17 = 17

Therefore, x = 8, y = 3

~Hope I helped!~
You might be interested in
Oscar is buying 4 new tires for his car. He has $240 budgeted for the tires, but can afford to pay $35 more or less than that am
Pachacha [2.7K]

Given that the dealer sells a dozen tires for $240, every 3-tire set costs $60. There are six 2-tire sets in a dozen. Thus, his total revenue should be $360. The total profit is the difference between the total revenue and the total cost. The answer is therefore, the first choice, $120.

4 0
3 years ago
Read 2 more answers
Adrian jogs 3/4 mile each morning how many days will take to jog 3 miles
lbvjy [14]
----------------------------------------------------------------
Given Information
----------------------------------------------------------------
Adrian can run 3/4 mile in 1 morning.

----------------------------------------------------------------
Find how long he needs to run 1 mile
----------------------------------------------------------------
3/4 miles = 1 morning 

[ Divide by 3/4 on both side ]
3/4 ÷ 3/4 miles = 1 ÷ 3/4

1 miles = 4/3 morning

----------------------------------------------------------------
Find how long he needs to take to run 3 miles
----------------------------------------------------------------
1 miles = 4/3 morning

[ multiply by 3 through ]
3 miles = 4/3 x 3 
3 miles = 4 mornings 

----------------------------------------------------------------
Answer : 4 mornings
----------------------------------------------------------------
6 0
3 years ago
The mean of 5 numbers is 30. The median is 33. What might the numbers be?
tatiyna

Let a,b,c,d and e are five numbers

mean = (a +b+ c+ d+e)/5 = 30

⇒ (a +b+ c+ d+e) = 150_______(1)

now, Let the number excluded be a

then, new mean =  (b+ c+ d+e)/4 = 28

⇒ (b+ c+ d+e)= 112

putting this value in (1),

⇒a + 112 = 150

⇒a = 150 -112 = 38

excluded number = 38

4 0
3 years ago
Use the order operations<br><br><br> 27+6(2X2-1) 4x2-5
Andrei [34K]
27+6(2*2-1)4*2-5
2*2=4
27+6(4-1)4*2-5
4-1=3
27+6(3)4*2-5
6*3=18
27+(18)4*2-5
18*4=72
27+(72)*2-5
72*2=144
27+(144)-5
27+144+171
171-5=166

So the answer is 166.
5 0
3 years ago
24-4x=15-3x10-x has how many solutions
Igoryamba
Your answer will be -1
6 0
3 years ago
Other questions:
  • F(x)= -2x + 2; Find f(5)
    9·1 answer
  • 5)
    13·2 answers
  • 43 + (x -7) =90 find the value of x
    14·2 answers
  • Hey can you please help me posted picture of question
    9·1 answer
  • A student has created the give circuit diagram. It consists of a battery, a resistor, and a light bulb. In one minute, 1.2C of c
    13·1 answer
  • CAN SOMEONE PLEASE HELP ME ?WITH THE QUESTION I JUST POSTED
    13·1 answer
  • Can someone explain how to calculate a unit rate ​
    9·1 answer
  • Solve for the missing side
    9·1 answer
  • Find the inverse of g(x)=1/x-1+2
    15·1 answer
  • Help me asap!!! Can’t figure it out for a test
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!