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
mamaluj [8]
3 years ago
15

What is the solution of the following linear system of equations? 4y=−5x−2, x−4y=14

Mathematics
1 answer:
Lisa [10]3 years ago
7 0

Answer:

X = 2 and Y = -3

Step-by-step explanation:

4y = -5x - 2

x - 4y = 14

5x + 4y = -2....... equation 1

x - 4y = 14........... equation 2

<u>Using Elimination </u><u>Method</u>

Add Equation 1 to Equation 2

6x = 12

Divide both side by 6

X= 2

Put X= 2 into Equation 1

5(2) + 4y = -2

10 + 4y = -2

4y = -2 - 10

4y = -12

Divide both side by 4

Y = -3

Therefore

x = 2

y = -3

You might be interested in
For f(x)=0.01(2)power of x, find the average rate of change from x=3 to x=8
sineoko [7]
\bf slope = {{ m}}= \cfrac{rise}{run} \implies &#10;\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby &#10;\begin{array}{llll}&#10;average\ rate\\&#10;of\ change&#10;\end{array}\\\\&#10;-------------------------------\\\\&#10;f(x)= 0.01(2)^x  \qquad &#10;\begin{cases}&#10;x_1=3\\&#10;x_2=8&#10;\end{cases}\implies \cfrac{f(8)-f(3)}{8-3}&#10;\\\\\\&#10;\cfrac{0.01(2)^8-0.01(2)^3}{8-3}
4 0
3 years ago
Which number is equivalent to 0.3
Strike441 [17]
3/10 that's equivalent
8 0
3 years ago
Read 2 more answers
Simplify 3^8 x 3^4 / 3^2 x 3^8 leaving your answer in index form
Furkat [3]

Answer:

3² or 9

Step-by-step explanation:

Step 1: Add exponents

\frac{3^{12}}{3^{10}}

Step 2: Subtract exponents

You should get 3² because of exponent rules. Remember when you multiply exponents you add the powers and when you divide exponents you subtract the powers.

3 0
3 years ago
Read 2 more answers
If you get a sneak peak at the salary list of your job and realize you are in the lowest bracket, which is the lowest 1%, what i
hoa [83]

Answer:

z=-2.33

And if we solve for a we got

a=48000 -2.33*5500=35185

And for this case the answer would be 35185 the lowest 1% for the salary

Step-by-step explanation:

Let X the random variable that represent the salary, and for this case we can assume that the distribution for X is given by:

X \sim N(48000,5500)  

Where \mu=48000 and \sigma=5500

And we want to find a value a, such that we satisfy this condition:

P(X>a)=0.99   (a)

P(X   (b)

We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.01 of the area on the left and 0.99 of the area on the right it's z=-2.33. On this case P(Z<-2.33)=0.01 and P(z>-2.33)=0.99

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=-2.33

And if we solve for a we got

a=48000 -2.33*5500=35185

And for this case the answer would be 35185 the lowest 1% for the salary

7 0
3 years ago
A shop sells chocolate, vanilla and strawberry ice creams. 45% of the ice creams sold are vanilla, and 1/4 are strawberry. What
Alinara [238K]

Answer:

Step-by-step explanation:

Total percentage = 100%

And we know that proportions of Vanilla +chocolate +strawberry = 100%

Proportion of Vanilla = 45%

Proportion of Strawberry = 1/4  *100 = 25%

Let proportion of chocolate be represented by variable C;

So, 45% +25% + C = 100%

65% +C = 100%

Subtract 65% from both sides to solve for C;

C=100% - 65%

C = 35%

Therefore there is 35% of chocolate  in the shop.

8 0
3 years ago
Other questions:
  • GRADUATING THIS WEEK NEED THIS ALL ANSWERED
    6·2 answers
  • 8) A 10-foot ladder leans
    14·1 answer
  • Evaluate the function, find f(-2):<br>f(x) = 2x² + 3x​
    7·1 answer
  • Type the value of the ? below.
    12·2 answers
  • What is the slope of the line that passes through the points (-2, -3), and (5, 4)?
    14·1 answer
  • 5^2 i want to know what that is.
    6·2 answers
  • 16x+16x+13x=180<br>what are the angle measures for:16x,16x,and 13x?​
    5·1 answer
  • Use distributive property to rewrite the expression 3x(x+4)​
    13·1 answer
  • PLEASE HELP MEEEEEEEEEEEEE!!!!!
    10·2 answers
  • Don recently received his first credit card, a MasterCard with a credit line of $500. In the first month he had it, he ran up ch
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!