SOLUTION: Write each equation in standard form. Identify a,b,c 36) 1/3x - 1/3y = -2 38) 0.25y = 10 40) 0.25x = 0.1 + 0.2y

Algebra ->  Linear-equations -> SOLUTION: Write each equation in standard form. Identify a,b,c 36) 1/3x - 1/3y = -2 38) 0.25y = 10 40) 0.25x = 0.1 + 0.2y      Log On


   

Question 214246This question is from textbook Texas Algebra 2
: Write each equation in standard form. Identify a,b,c
36) 1/3x - 1/3y = -2
38) 0.25y = 10
40) 0.25x = 0.1 + 0.2y This question is from textbook Texas Algebra 2

Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Write each equation in standard form. Identify a,b,c

36) 1/3x - 1/3y = -2

38) 0.25y = 10

40) 0.25x = 0.1 + 0.2y

Step 1. The standard form for a linear equation is given in the form of ax+by=c where a, b, and c are constants.

Step 2. For Problem 36,

x%2F3+-+y%2F3+=+-2

Multiply 3 to both sides of equation to get rid of denominator

3%2Ax%2F3-3%2Ay%2F3=-2%2A3

x-y=-6 where a=1, b=-1 and c=-6 (ANSWER)

Step 3. For Problem 38,

0.25y=10 we can multiply by 4 to both sides of equation

4%2Ay%2F4=10%2A4

y=40 where a=0, b=1 and c=40 (ANSWER)

Step 4. For Problem 40,

0.25x+=+0.1+%2B+0.2y

x%2F4=1%2F10%2By%2F5 where 0.25=1%2F4, 0.1=1%2F10, and 0.2=1%2F5

Multiply by 20 to both sides of equation to get rid of denominator

20%2Ax%2F4=20%2F10%2B20%2Ay%2F5

5x=2%2B4y

Subtract 4y from both sides of equation to put in standard form

5x-4y=2%2B4y-4y

5x-4y=2 where a=5, b=-4, and c=2 (ANSWER)

I hope the above steps were helpful.

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And good luck in your studies!

Respectfully,
Dr J