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
Olenka [21]
4 years ago
14

What is the solution to this system of linear equations? 2x + 3y = 3 7x – 3y = 24

Mathematics
1 answer:
andrey2020 [161]4 years ago
6 0

Answer:

x = 3

y = -1

Step-by-step explanation:

<em><u>To solve this, you can use the elimination method, which is to have one pair of terms to cancel one another. In this case, we already have 3y and -3y, which cancel:</u></em>

2x + 3y = 3

7x - 3y = 24

___________

9x = 27

<u>Divide both sides by 9:</u>

x = 3

<u>Plug in 3 for x, into one of the equations:</u>

2x +  3y = 3

2(3) + 3y = 3

6 + 3y = 3

<u>Subtract 6 from both sides:</u>

3y = -3

<u>Divide both sides by 3:</u>

y = -1

You might be interested in
The volume of a cube is 27n27 cubic units. What is the lenth of one side of the cube?
sergejj [24]

Answer: B . on your test

Step-by-step explanation:

5 0
3 years ago
A bag of potato chips contains 0.96 grams of sodium. If the bag is split into 8 equal servings, how many grams of sodium will ea
marusya05 [52]

Answer:

.12g of Na

Step-by-step explanation:

5 0
3 years ago
During 30 minutes on the treadmill, LaToya burned 20 calories per minute. What is the rate of change of the function that repres
LUCKY_DIMON [66]

Answer:

the rate of change is 20 calories per minute.

Step-by-step explanation:

6 0
3 years ago
The scatter plot below shows the relationship between the length (x) in meters and mass f(x) in kg of a marine animal
Semmy [17]

Answer:

Option C.

Step-by-step explanation:

As we can see from the graph, we have plotted the different points.

If the line drawn through the scatter plots, shows the relationship between the length x and mass f(x) then the function will be in the form of

f(x) = mx + b

where m = slope of the line that fits the best

b = y-intercept of the line

Since the plotted line passes through two pints (1, 1) and (10, 94).

Then the slope m = \frac{y-y'}{x-x'}

m = \frac{(94-1)}{10-1}

m = \frac{93}{9}

m = 10.3

Now we place the coordinates (1, 1) in the equation to find the value of y-intercept b.

1 = 10.3 + b

b = 1 - 10.3

b = -9.3 ≈ 9

So the function will be f(x) = 10.3x - 9

Option C is the answer.

5 0
3 years ago
Y is such that 4y _ 7&lt;= 3y and 3y &lt;= 5y +8. What range of values of y satisfies both inequalities
fgiga [73]

Answer:

<h3>-4≤y≤7</h3>

Step-by-step explanation:

Given the inequality expressions

4y - 7 ≤ 3y and 3y≤5y+8

For 4y - 7 ≤ 3y

Collect like terms

4y - 3y ≤ 7

y ≤ 7

For  3y≤5y+8

Collect like terms

3y - 5y ≤ 8

-2y ≤ 8

y ≥ 8/-2

y ≥ -4

Combining both solutions

-4≤y≤7

<em>Hence the range of values of y that satisfies both inequalities is -4≤y≤7</em>

6 0
3 years ago
Other questions:
  • Write 720,080 in expanded form with exponents
    5·1 answer
  • A six-foot-tall person walks from the base of a broadcasting tower directly toward the tip of the shadow cast by the tower. When
    7·1 answer
  • What is the domain of the function f(x)=−4log2(x+3)−6 ? enter your answer in the box?
    9·1 answer
  • Help me solve this please!!
    11·2 answers
  • JK has endpoints at J(9, 9) and K(1, 3). Find the midpoint M of JK.
    5·1 answer
  • Geoff planted dahlias in his garden. Dahlias have bulbs that divide and reproduce underground. In the first year, Geoff’s garden
    8·1 answer
  • Alex drives at an average speed that is
    15·1 answer
  • Heelppppppppp pls loook at photo plssssssss
    14·1 answer
  • PLEASEE PLEASEEE HELP MEE NOW ASAPPP <br> 50 POINTTSS!!!
    9·2 answers
  • Help me please i dont understand
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!