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
fgiga [73]
3 years ago
11

Can someone help me with system of equations?

Mathematics
2 answers:
umka21 [38]3 years ago
7 0

#1)

Answer:

x=1 and y=12

Explanation:

y=5x+7

y=2x+10

This system should use substitution because the value of y is given in terms if x.

Substitution:

5x+7=2x+10

Solve:

3x=3

x=1

Substitute x to solve for y by plugging x into one if the original equations(doesn’t matter which one is used).

y=5x+7

y=5(1)+7

y=5+7

y=12

#2)

Answer:

x=-8 and y=2

Explanation:

y=2x+18

9y=-2x+2

This system also uses substitution. The value of y us already given in terms if c in the first equations, so we will substitute in the second equation.

Substitute:

9(2x+18)=-2x+2

Solve:

18x+162=-2x+2

20x=-160

x=-8

Now that we have the value if x, plug it into one of the original equations(doesn’t matter which equation) and substitute to find y.

y=2x+18

Substitute:

y=2(-8)+18

Solve:

y=-16+18

y=2

lapo4ka [179]3 years ago
5 0

for the first set of equations, it’s easier to use substitution because both equations are already equal to <em>y. </em>

5x + 7 = 2x + 10

- 7 - 7

5x = 2x + 3

- 2x = - 2x

3x = 3

/3 /3

x = 1

now that you solved for x, plug 1 into an equation to find y

y = 5(1) + 7

y = 5 + 7

y = 12

so the answer is (1,12)

for the next one, use elimination because there is a positive/negative +-2x pair

y = 2x + 18

9y = -2x + 2

the 2x and the -2x will cancel out. add the other terms

10y = 20

divide both sides by 10

y = 10

now that we have the y term, plug it in to solve for x

10 = 2x + 18

-18 -18

-8 = 2x

-4 = x

the answer is (-4,10)

You might be interested in
What will the last payment be to pay off a $1,250 computer plus 8% sales tax with monthly payments of $120?
GrogVix [38]
Convert 8% too decimal form = 8/100 = .08
1250 * .08 = 100
1250 + 100 = 1350
To find out how many payments of 120 can be made :
120x = 1350
divide both sides by 120
x = 11.25 payments of $120
since .25 is a fraction calculate the actual $ amount by mult. 120 * .25 = $30
The last payment is $30

8 0
3 years ago
3 ten thousand + 14 tens + 16 ones
zzz [600]
30,1416 I'm pretty sure this is the answer
8 0
3 years ago
Read 2 more answers
If the ratio of purple bikes to red bikes is 8 to 12 and there are a total of 100 bikes, how many of them are purple? * 40 purpl
Marrrta [24]

Answer:

60

Step-by-step explanation:

sum the parts of the ratio, 8 + 12 = 20 parts

Divide the total by 20 to find the value of one part of the ratio

100 ÷ 20 = 5 ← value of 1 part of the ratio , thus

8 parts = 8 × 5 = 40 ← number of purple bikes

4 0
3 years ago
Zoe has 4 pounds of strawberries to make pies. How many ounces of strawberries Is this?
sergiy2304 [10]
<h3>Answer: 64 ounces (choice A)</h3>

Work Shown:

1 pound = 16 ounces

4*(1 pound) = 4*(16 ounces)

4 pounds = 64 ounces

5 0
2 years ago
Butternut is a ski resort in massachusetts. one of their triple chair lifts unloads 1296 skiers per hour at the top of the slope
Andrews [41]
For the answer to the question above,<span> I will show my solution below.</span><span>
</span><span>I = 30,000 wetsuits
T = I/R = 30,000/15,000 = 2 months = 60 days</span>The answer is <u><em>60 days</em></u>
<span />I hope this helped you. Have anice day!
7 0
3 years ago
Other questions:
  • To be considered similar, two polygons _____ have corresponding sides that are equal. always never sometimes
    7·2 answers
  • Wrapping paper 8ft long and 8 ft wide. what is the perimeter
    15·1 answer
  • Give the domain and range of each relation. Tell whether the relation is a function. Expain. {(-5,-3), (-3,-2), (-1,-1), (1,0)}
    10·1 answer
  • Can someone help me with this question?
    12·2 answers
  • Carlos has 10 more dollars and Jeremy Jeremy has $5 more than the show all together they have $80 what part of 80 does Michelle
    14·1 answer
  • Consider these numbers,ordered from least to greatest.Which values could correctly fill in the blank?Select all that apply.​
    7·1 answer
  • in 2012 costsaver supermarkets sold groceries for £536480. it was increased by 12%on th 2011 figure. Find the value of the groce
    10·1 answer
  • StartFraction 2 Over n EndFraction = two-thirds
    12·1 answer
  • IF YOU DON'T KNOW THE ANSWER THEN DON'T PUT ONE
    15·2 answers
  • (14 + 11x) + (x ^ 2 - 15x + 17)​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!