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
Molodets [167]
3 years ago
11

Solve both by substitution method (algebra 2) and show work please -2x-7y=22-7x-5y=-1

Mathematics
1 answer:
Alex17521 [72]3 years ago
4 0
\bf \begin{cases}
-2x-7y=22\\
-7x-5y=-1
\end{cases}\qquad \textit{let's solve the \underline{second one} for "x"}
\\\\\\
-7x-5y=-1\implies -7x=5y-1\implies x=\cfrac{5y-1}{-7}
\\\\\\
\boxed{x=\cfrac{1-5y}{7}}\impliedby \textit{now, let's substitute it in the \underline{first one}}
\\\\\\

\bf -2\left( \frac{1-5y}{7} \right)-7y=22\implies \cfrac{10y-2}{7}-7y=22
\\\\\\
\textit{now, let's multiply both sides by 7, to toss the denominator}
\\\\\\
7\left( \cfrac{10y-2}{7}-7y \right)=7(22)\implies 10y-2-49y=154
\\\\\\
-39y=156\implies y=\cfrac{154}{-39}\implies \boxed{y=-4}
\\\\\\
\textit{now, let's use that in the \underline{first one}}
\\\\\\
-2x-7(-4)=22\implies -2x+28=22\implies 6=2x\implies \cfrac{6}{2}=x
\\\\\\
\boxed{3=x}
You might be interested in
Mai poured `2.6` liters of water into a partially-filled pitcher. The pitcher now contains `10.4` liters. Mai wants to know how
prisoha [69]

Answer: 7.8

Step-by-step explanation: If we want to find the amount that was in the pitcher before then we subtract 2.6 from 10.4 to find the original amount because if the pitcher were to contain an amount that only adds up to 10.4 before we add 2.6 then the number that adds with 2.6 to equal 10.4 is our answer

hence our answer 7.8

8 0
2 years ago
Read 2 more answers
Shankar has decided to train to be a Carbucks Barrista. Being young and inexperienced, for every order he makes a mistake in mak
astra-53 [7]

Answer:

Step-by-step explanation:

Since each trial is independent of the other

no of mistakes he does is binomial with p = 1/3

a) the probability that he makes no mistakes on his first 10 orders but the 11th order is a mistake

= (\frac{2}{3}) ^{10} *\frac{1}{3}\\=\frac{2^{10} }{3^{11} }

b) Prob that shanker quits = P(Shankar does I one mistake and Fran does not do the first one)+Prob (Shanker does mistake in the II one while Fran does both right)

= \frac{1*5}{3*6} +\frac{2}{3} \frac{1}{3}(\frac{5}{6})^2  =\frac{5}{18} +\frac{50}{216} \\=\frac{55}{108}

6 0
3 years ago
joey went hiking on a wilderness path. the path was in the shape of the triangle shown on the diagram. He walked on the path 2 t
Gekata [30.6K]
30 miles total. Hope this helps
5 0
3 years ago
Read 2 more answers
Describe how to determine the average rate of change between x=1 and x=3 for the function fx=3x^2=1/ Include the average rate of
mezya [45]

Answer:

To find the average rate of change, we divide the change in the output value by the change in the input value.

Step-by-step explanation:

4 0
3 years ago
To complete this assignment, you must choose a listening selection from Section 1: Basic Musical Concepts (any of the classes fr
bija089 [108]

Answer:

Please see the attached file for the complete answer.

Step-by-step explanation:

Download pdf
7 0
3 years ago
Other questions:
  • farmer joe is enclosing a rectangular area on his arm for his chicken with 200 feet of fencing that he recently acquired in a tr
    14·1 answer
  • Which expression is equivalent to -32 to 3/5 power
    8·1 answer
  • Nathan’s kite is in shape of a square. The area of the kite is 36 square feet. What is the perimeter, in feet, of Nathen’s kite
    9·1 answer
  • What is the value of x, given that figure LMNO is a square? A. 45 B. 33 C. 27 D. 81
    10·1 answer
  • Consider the relationship below.
    7·1 answer
  • What is the solution to the equation x=1 x=-2
    8·1 answer
  • What is the solution? <br> I will mark you as the brainliest abswer!
    15·2 answers
  • A is a constant. Find A such that the equation 2x + 1 = 2A + 3(x + A) has a solution at x = 2.
    8·1 answer
  • Which line has an undefined slope? A y = 0 B y = 2 C x = y D x = 2
    10·2 answers
  • What is the Greatest Common Factor of 12 and 36? (1 point)
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!