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
Firdavs [7]
2 years ago
14

Please solve this for me using substitution

Mathematics
1 answer:
Vinvika [58]2 years ago
6 0

<h2> <u>Explanation</u><u>:</u></h2>

\bf \underline{★Given-} \\

\textsf{4x + 5y = 8};

\textsf{5x + 4y = 12}

\bf \underline{★To\: find-} \\

\textsf{the value of x and y in equation?}

\bf \underline{★Solution-} \\

\sf \leadsto 4x + 5y = 8 - - - (i)

\sf \leadsto 5x + 4y = 12 - - - (ii)

By first equation,

\sf \leadsto 4x + 5y = 8

\sf \leadsto 4x = 8 - 5y

\sf \leadsto x = \dfrac{8 - 5y}{4}

\textsf{Now, we can find the original value of Y.}\\

\sf \leadsto 5x + 4y = 12

\sf \leadsto 5 \bigg( \dfrac{8 - 5y}{4} \bigg) + 4y = 12

\sf \leadsto \dfrac{40 - 25y}{4} + 4y = 12

\sf \leadsto \dfrac{40 - 25y + 16y}{4} = 12

\sf \leadsto \dfrac{40 - 9y}{4} = 12

\sf \leadsto 40 - 9y = 12(4)

\sf \leadsto 40 - 9y = 48

\sf \leadsto -9y = 48 - 40

\sf \leadsto -9y =  8

\sf \leadsto y = \dfrac{ -8}{9}

\textsf{Now, we can find the original value of X.}\\

\sf \leadsto 4x + 5y = 8

\sf \leadsto  4x + 5 \bigg( \dfrac{ -8}{9} \bigg) = 8

\sf \leadsto 4x - \dfrac{40}{9} = 8

\sf \leadsto \dfrac{36x - 40}{9} = 8

\sf \leadsto 36x - 40 = 8(9)

\sf \leadsto 36x - 40 = 72

\sf \leadsto 36x = 72 + 40

\sf \leadsto 36x = 112

\sf \leadsto x = \dfrac{112}{36}

\underline{\textsf{Answer-}}\\

Therefore, the values of x and y are -8/9 and 112/36 respectively.

You might be interested in
Hey! I hope everyone is doing great so far :) i'll appreciate some help, ty!
ioda
0.2 (y+2) = 0.2y + 0.2(2)
= 0.2y + 0.4
4 0
3 years ago
Read 2 more answers
Ivan and Tanya share £150 in the ratio 4: 1<br> Work out how much more Ivan gets compared to Tanya.
Dennis_Churaev [7]
Ivan gets £112.5(0) more than Tanya
7 0
3 years ago
I have no idea how to do this please helo
sesenic [268]

Step-by-step explanation:

(x - 2) \times 180 \\ (10 - 2) \times 180 = 8 \times 180  \\  = 1440 \\ forone \: angle =  \frac{1440}{10}  = 144 \\ thank \: you

3 0
2 years ago
Read 2 more answers
Factor the expression 18x+3 using the GCF.
weqwewe [10]
3(6x+1) I’m not sure but probably this could be right
8 0
3 years ago
Which transformation will always produce the same image as a rotation 90° counterclockwise?
monitta

Answer:

b.a rotation 270 clockwise

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Ahmad drove 638 miles in 11 hours. At the same rate, how long would it take him to drive 522 miles?
    14·1 answer
  • I need help with this math. Thanks in advance
    5·1 answer
  • What does 45 dividend by 5/11
    8·2 answers
  • Identify the polygon and classify it as regular or irregular.
    11·2 answers
  • I need the answer. !’
    12·1 answer
  • Solve lim x-&gt;0 (1+sinx)/cosx
    5·1 answer
  • All of the following equations have the same solution except _____.
    5·2 answers
  • How many more years is the avearge life span of a alligator then a tiger
    15·2 answers
  • How many pages did Juan read if he read 1 3/4 times as many pages as Rosa. Lee read 140 3/4 pages which was 36 1/3 pages more th
    6·1 answer
  • 376 ×74 explain the solving steps​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!