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
yawa3891 [41]
3 years ago
12

What is the solution to this system of linear equations? x- 3y = -2 x+ 3y = 16

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
7 0

Answer:

Add 3y to both sides of the equation.

x=−2+3y

x+3y=16

Replace all occurrences of x with −2+3y in each equation.

−2+6y=16

x=−2+3y

Solve for y in the first equation.

y=3

x=−2+3y

Replace all occurrences of y with 3 in each equation.

x=7, y=3

The solution to the system is the complete set of ordered pairs that are valid solutions. ( 7 , 3 )

The result can be shown in multiple forms. Point Form: ( 7, 3 )

Equation Form: x=7, y=3

Step-by-step explanation:

You might be interested in
For what values of b will f(x) = logb x be a decreasing function?
musickatia [10]
The answer to this is 0<b<1
4 0
3 years ago
Read 2 more answers
An icicle drips at a rate that can be represented by the function f(x) = −x2 + 11x − 18, where 0 ≤ x ≤ 10 and x is the number of
FrozenT [24]

Calculate f(x) for all numbers between 0 and 10:

f(0) = −0^2 + 11(0) − 18 = -18

f(1) = −1^2 + 11(1) − 18 = -8

f(2) = −2^2 + 11(2) − 18 = 0

f(3) = −3^2 + 11(3) − 18 = 6

f(4) = −4^2 + 11(4) − 18 = 10

f(5) = −5^2 + 11(5) − 18 = 12

f(6) = −6^2 + 11(6) − 18 = 12

f(7) = −7^2 + 11(7) − 18 = 10

f(8) = −8^2 + 11(8) − 18 = 6

f(9) = −9^2 + 11(9) − 18 = 0

f(10) = −10^2 + 11(10) − 18 = -8

When the value is negative it doesn't drip, so it starts and stops dripping when the values = 0

Which is f(2) and f(9), the values are 2 and 9.

4 0
3 years ago
Graph the system below and write its solution<br><br>(2x+y=-4<br>(y=-1/2x+2​
Travka [436]
The solution is (-4,4)

Explanation: just plug both equations into desmos; the solution is found by looking at where the graphs of 2x+y=-4 and y=-1/2x+2 intersect.
7 0
3 years ago
Solve the equation. Graph the solution(s) if possible.<br><br> ∣x−3∣+4=9
Mazyrski [523]

Answer:

x=8

x=-2

Step-by-step explanation:

∣x−3∣+4=9

= ∣x−3∣=5

<u>Positive term: (x-3)</u>

  (x-3) = 5

Rearrange and Add up

  x = 8

<u>Negative term: -(x-3)</u>

Multiply

     -x+3 = 5  

Rearrange and Add up

     -x = 2  

Multiply both sides by (-1)

     x = -2

3 0
3 years ago
Jorge has $24 on a gift card. He only uses the gift card to buy $1.75 cups of coffee. What is the total change in the amount in
user100 [1]
Jorge would have $8.25 left. This answer does not include 9 cups + the $1.75 it said he bought in the beginning. I’m pretty sure the 9 is the total amount of cups he bought. If it isn’t then subtract another $1.75 and you should get $6.50
6 0
3 years ago
Other questions:
  • Ten times a number increased by 4 is no more than 25, how do u write it as an inequality?
    15·1 answer
  • Help me please thank
    14·1 answer
  • What is the place value of number nine digit in 7,093,455
    7·2 answers
  • What is the slope of the linear function of (6 , 2) (9 , 8)
    12·2 answers
  • Let f(x)=3x+1 and g(x)=2x2−1<br> Find f(g(2))<br><br><br> 10<br><br> 22<br><br> 97<br><br> 28
    10·1 answer
  • D=rt What does T equal? Lol how is this possible
    15·1 answer
  • The ratio of blue marbles to green marbles if there are 7 blue marbles for every 10 green marbles
    6·1 answer
  • Write the sentence as an inequality.
    15·1 answer
  • IF CORRECT I WILL GIVE BRAINLYIST
    14·2 answers
  • a rectangular has a length of 8 m and a width of 4.5 m. a parallelogram has a length of 6m . the area of the parallelogram is tw
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!