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
omeli [17]
2 years ago
10

Solve the System of Equations -5x+4y=3 x=2y-15

Mathematics
2 answers:
Elodia [21]2 years ago
6 0

Answer:

\fbox{x = 9, y = 12}

Step-by-step explanation:

\textsf {Let's solve by substitution.}

\rightarrow \mathsf {-5x + 4y = 3}\\\rightarrow \mathsf {x = 2y - 15}

\textsf {Substitute for x in the first equation of the system.}

\implies \mathsf {-5(2y-15)+4y=3}

\implies \mathsf {-10y+75+4y=3}

\implies \mathsf {-6y=-72}

\implies \textbf {y = 12}

\implies \mathsf {x = 2(12) - 15}

\implies \mathbf {x = 9}

\textsf {The solution is : x = 9, y = 12}

hjlf2 years ago
4 0

Answer:

Point Form:

(9,12)

Equation Form:

x = 9

y = 12

Step-by-step explanation:

You might be interested in
the temperature is changing everyday by -7/18 degrees Fahrenheit. what will be the change in the temperature after 3 days​
Yuki888 [10]

Answer:a

Step-by-step explanation:

8 0
3 years ago
Which number is irrational? <br> A: 0.277277277...<br> B:0.333...<br> C:pie<br> D:0.7
Alexeev081 [22]
The correct answer would be C) Pi.
It is irrational because it cannot be written as a ratio (or fraction)
8 0
3 years ago
Use mental math to find the unknown number in the equation 12 x b= 480
makkiz [27]
So find out what times twelve equals 48. Then add a zero in front and that is your answer.
5 0
3 years ago
Read 2 more answers
A tent is in the form of a right circular cylinder surmounted by a cone. The volume of the tent can be modeled by the function V
Setler [38]

Answer:

Check this explaination below

Step-by-step explanation:

Check the attached picture

6 0
2 years ago
Solve these linear equations by Cramer's Rules Xj=det Bj / det A:
timurjin [86]

Answer:

(a)x_1=-2,x_2=1

(b)x_1=\frac{3}{4} ,x_2=-\frac{1}{2} ,x_3=\frac{1}{4}

Step-by-step explanation:

(a) For using Cramer's rule you need to find matrix A and the matrix B_j for each variable. The matrix A is formed with the coefficients of the variables in the system. The first step is to accommodate the equations, one under the other, to get A more easily.

2x_1+5x_2=1\\x_1+4x_2=2

\therefore A=\left[\begin{array}{cc}2&5\\1&4\end{array}\right]

To get B_1, replace in the matrix A the 1st column with the results of the equations:

B_1=\left[\begin{array}{cc}1&5\\2&4\end{array}\right]

To get B_2, replace in the matrix A the 2nd column with the results of the equations:

B_2=\left[\begin{array}{cc}2&1\\1&2\end{array}\right]

Apply the rule to solve x_1:

x_1=\frac{det\left(\begin{array}{cc}1&5\\2&4\end{array}\right)}{det\left(\begin{array}{cc}2&5\\1&4\end{array}\right)} =\frac{(1)(4)-(2)(5)}{(2)(4)-(1)(5)} =\frac{4-10}{8-5}=\frac{-6}{3}=-2\\x_1=-2

In the case of B2,  the determinant is going to be zero. Instead of using the rule, substitute the values ​​of the variable x_1 in one of the equations and solve for x_2:

2x_1+5x_2=1\\2(-2)+5x_2=1\\-4+5x_2=1\\5x_2=1+4\\ 5x_2=5\\x_2=1

(b) In this system, follow the same steps,ust remember B_3 is formed by replacing the 3rd column of A with the results of the equations:

2x_1+x_2 =1\\x_1+2x_2+x_3=0\\x_2+2x_3=0

\therefore A=\left[\begin{array}{ccc}2&1&0\\1&2&1\\0&1&2\end{array}\right]

B_1=\left[\begin{array}{ccc}1&1&0\\0&2&1\\0&1&2\end{array}\right]

B_2=\left[\begin{array}{ccc}2&1&0\\1&0&1\\0&0&2\end{array}\right]

B_3=\left[\begin{array}{ccc}2&1&1\\1&2&0\\0&1&0\end{array}\right]

x_1=\frac{det\left(\begin{array}{ccc}1&1&0\\0&2&1\\0&1&2\end{array}\right)}{det\left(\begin{array}{ccc}2&1&0\\1&2&1\\0&1&2\end{array}\right)} =\frac{1(2)(2)+(0)(1)(0)+(0)(1)(1)-(1)(1)(1)-(0)(1)(2)-(0)(2)(0)}{(2)(2)(2)+(1)(1)(0)+(0)(1)(1)-(2)(1)(1)-(1)(1)(2)-(0)(2)(0)}\\ x_1=\frac{4+0+0-1-0-0}{8+0+0-2-2-0} =\frac{3}{4} \\x_1=\frac{3}{4}

x_2=\frac{det\left(\begin{array}{ccc}2&1&0\\1&0&1\\0&0&2\end{array}\right)}{det\left(\begin{array}{ccc}2&1&0\\1&2&1\\0&1&2\end{array}\right)} =\frac{(2)(0)(2)+(1)(0)(0)+(0)(1)(1)-(2)(0)(1)-(1)(1)(2)-(0)(0)(0)}{4} \\x_2=\frac{0+0+0-0-2-0}{4}=\frac{-2}{4}=-\frac{1}{2}\\x_2=-\frac{1}{2}

x_3=\frac{det\left(\begin{array}{ccc}2&1&1\\1&2&0\\0&1&0\end{array}\right)}{det\left(\begin{array}{ccc}2&1&0\\1&2&1\\0&1&2\end{array}\right)}=\frac{(2)(2)(0)+(1)(1)(1)+(0)(1)(0)-(2)(1)(0)-(1)(1)(0)-(0)(2)(1)}{4} \\x_3=\frac{0+1+0-0-0-0}{4}=\frac{1}{4}\\x_3=\frac{1}{4}

6 0
3 years ago
Other questions:
  • Help ???? picture is included
    12·1 answer
  • Which is equivalent to "12 chairs for every 3 tables"?
    14·2 answers
  • tom and jerry have to stuff and seal 63 envelopes for a new marketing campaign. jerry can stuff and seal 15 envelopes in 2 minut
    12·1 answer
  • What is the product of 33 and j
    9·1 answer
  • I NEED A FRIEND IN K12 7TH GRADE
    12·1 answer
  • The sides of a square are all increased by 2 inches. The area of the NEW square is 49
    10·1 answer
  • Back at it again can someone help me I'll give out brainly
    7·1 answer
  • You are working out a budget for your holiday. Here is your list: Food $594.09 Clothes $204.33 Trips $100.40 Transport $310.05 E
    5·1 answer
  • Given that g(x)=3(x)^2-5(x)+1<br> g(1-t)
    15·1 answer
  • Need help with number 4. Verify algebratically if each function is even, odd, or neither
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!