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
Airida [17]
3 years ago
8

Solve the system by the substitution method. Show your work. 2y - x = 5, x2 + y2 - 25 = 0

Mathematics
1 answer:
Anna71 [15]3 years ago
8 0
Subsitution

2y-x=5
minus 2y both sides
-x=5-2y
times -2 both sides
x=2y-5

subsitute 2y-5 for x in other equation

(2y-5)²+y²-25=0
expand
4y²-20y+25+y²-25=0
5y²-20y=0
factor
5y(y-4)=0
set to zero

5y=0
y=0

y-4=0
y=4


subsitute back

for y=0
x=2y-5
x=2(0)-5
x=-5
one solution is (-5,0)

for x=4
x=2y-5
x=2(4)-5
x=8-5
x=3
one solution is (3,4)




the 2 soltuions are (-5,0) and (3,4)
You might be interested in
-2x+6=30-6x. -6,6,-8,8
Illusion [34]
-2x + 6 = 30 - 6x
--> -2x + 6x = 30 - 6
<span>--> 4x = 24
</span><span>--> x = 24/4
</span><span>--> x = 6</span>
4 0
2 years ago
A store sells 6 bananas for $4. Determine how much it would cost to buy 15 bananas
Archy [21]

Answer:

$10

Step-by-step explanation:

Since 6 cost four dollars 3 would cost 2 dollars multiply 3 to get 15 bananas and 2 to get $10

8 0
3 years ago
Read 2 more answers
The part (aka "is") = 8 and the percent is 42, what is the whole (aka
marysya [2.9K]

Answer:

33

Step-by-step explanation:

If you simplify what the question is saying, it's basically..

8 is 24% of <u>what number?</u>

To find out, you can simply set up an equation.

((24% = 0.24 as a decimal (move the decimal point two times to the left))

8 = 0.24 x N (N is just the 'whole')

To solve, you just need to divide 8 ÷ 0.24. So, N = 33.333 repeating.

The question says to round to the nearest whole number, so the answer would just be 33.

8 0
2 years ago
A homeless shelter has beds for 20 men and 4 women. What percentage of the beds at the shelter are for men? Round the answer to
Kazeer [188]
83.33% is the answer

6 0
3 years ago
Expand and simply <br>a) 2(4c+5d)+3(c-3d) <br>b) 6(3m+n)-4(m-n)<br>​
dezoksy [38]

Answer:

a. 11x + d

b. 15m + 10n

Step-by-step explanation:

a. 2(4c+5d) + 3(x-3d)

Break the brackets:

2*4c + 2*5d + 3*x - 3*3d

= 8x + 10d + 3x - 9d

Collect like termsL

= 8x + 3x + 10d - 9d

= 11x + 1d

b. 6(3m+n) - 4(m-n)

Break the brackets:

= 6*3m + 6*n - 3*m - 4*(-n)

= 18m + 6n - 3m - (-4n)

= 18m -3m + 6n + 4n

= 15m + 10n

Hope this helped :3

3 0
3 years ago
Other questions:
  • What is the equal number 5 tens and 13 ones
    10·1 answer
  • These are linear openings that form in materials to relieve stress
    7·1 answer
  • Write a fraction that is greater than 1/3 and is less than 1/2.
    7·2 answers
  • Parallelogram ABCD is given. Draw line EF so that it goes through the vertex A. Point E lies on the side BC and point F lies on
    7·1 answer
  • Pls help me out with this question
    5·2 answers
  • What do we get when we break apart 46+26 using place value?
    7·1 answer
  • I need some help with geometry?​
    5·1 answer
  • Which statement is correct?
    13·1 answer
  • Solve the following system of linear equations using elimination. <br>3x+y=8<br> -3x+6y=27​
    8·1 answer
  • Which is equivalent to 42x +49.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!