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
alekssr [168]
3 years ago
10

5x + 4y = 11 2x + 6y = -7

Mathematics
1 answer:
olga55 [171]3 years ago
8 0

\left\{\begin{array}{ccc}5x+4y=11&|\cdot2\\2x+6y=-7&|\cdot(-5)\end{array}\right\\\underline{+\left\{\begin{array}{ccc}10x+8y=22\\-10x-30y=35\end{array}\right}\ \ \ \ |add\ both\ sides\ of\ the\ equations\\.\ \ \ \ \ \ \ \ \ \ \ -22y=57\ \ \ \ |:(-22)\\.\ \ \ \ \ \ \ \ \ \ \ y=-\dfrac{57}{22}\\\\substitute\ the\ value\ of\ y\ to\ the\ first\ equation\\\\5x+4\left(-\dfrac{57}{22}\right)=11\\\\5x-2\cdot\dfrac{57}{11}=11\ \ \ \ |\cdot11\\\\55x-114=121\ \ \ \ |+114\\\\55x=135\ \ \ \ |:55

x=\dfrac{135}{55}\\\\x=\dfrac{27}{11}\\\\Answer:\ x=\dfrac{27}{11}\ and\ y=-\dfrac{57}{22}\to\left(\dfrac{27}{11},\ -\dfrac{57}{22}\right)

You might be interested in
What is the measure of central angle COB?<br><br><br>What is the measure circumscribed angle A&gt;
vagabundo [1.1K]

Answer:

Step-by-step explanation:

4 0
2 years ago
What is the value of the 5 in the number 975,178
maxonik [38]
It’s in the thousands place
3 0
4 years ago
Read 2 more answers
Please hellp
ankoles [38]

Answer:

he needs 3 bags i did this test

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Lorne subtracted 6x3 – 2x + 3 from –3x3 + 5x2 + 4x – 7. Use the drop-down menus to identify the steps Lorne used to find the dif
Pie

Answer:

31

Step-by-step explanation:

5 0
3 years ago
1) 2(a + 3) = -12
serg [7]
1)
2(a + 3) = -12
Divide by 2
a + 3 = -6
Subtract 3
a = -9

2)
3(p + 2) = 18
Divide by 3
p + 2 = 6
Subtract 2
p = 4

3)
4(2r + 8) = 88
Dive by 4
2r + 8 = 22
Subtract 8
2r = 14
Divide by 2
r = 7

4)
2(3a + 2) = -8
Divide by 2
3a + 2 = -4
Subtract 2
3a = -6
Divide by 3
a = -2

5)
4(k + 3) = 4
Divide by 4
k + 3 = 1
Subtract 3
k = -2
3 0
3 years ago
Read 2 more answers
Other questions:
  • Find the value of x . <br><br> A: 13/5 <br> B: 5<br> C: 19/5<br> D: 3
    5·2 answers
  • n the diagram, MQ = QP = PO = ON. If NP is greater than MP, which must be true? Segment OP is longer than segment MQ. Segment MN
    8·2 answers
  • Which equation could be a solution for (1, 3)?
    8·1 answer
  • What are the 2-dimensional components of a cylinder
    10·1 answer
  • A carnival ride has a sign at the beginning of the line that says "Must be at least 48 inches tall to ride." Which of the follow
    10·2 answers
  • A drawer contains 4 red socks, 3 white socks, and 3 blue socks. Without looking, you select a sock at random, replace it, and se
    11·2 answers
  • Which of the following is a solution of x2 + 5x = −2? (2 points)
    12·1 answer
  • Use these true equations to help you answer the questions that follow.
    13·1 answer
  • Use the geometric mean to find the 7th term in a geometric sequence if the 6th term is 8 and the 8th term is 18.
    12·1 answer
  • Translate each word expression into an algebraic expression.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!