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I am Lyosha [343]

4 years ago

5

6x-3y=6 y=2x+5 USE SUBSTITUTION SHOW YOUR WORK

2 answers:

Masja [62]4 years ago

6 0

6x - 3y = 6 ⇒ 6x - 3y = 6 ⇒ 6x - 3y = 5
y = 2x + 5 ⇒ 2x - 1y = 5 ⇒<u> 6x - 3y = 15</u>
      -<u>6y</u> = <u>-10</u>
   -6 -6
   y = 1 2/3
   6x - 3(1 2/3) = 6
   6x - 5 = 6
   <u>    +5 +5</u>
   <u>6x</u> = <u>1</u>
      6    6
   x = 1/6
   (x, y) = (1/6, 1 2/3)

mote1985 [20]4 years ago

3 0

What you're going to do is plug in y=2x+5 into the 3y ( getting rid of the y to solve for x only) so that gives you...... 6x-3(2x+5)=6. Next, you're going to multiply -3 to 2x and 5. Now it gives you..... 6x-6x-15=6. The x's cancel out leaving the equation with -15=6 making it an Inconsistent system also known as a No Solution system.

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