Jess32idn
Answered

Explore a diverse range of topics and get answers from knowledgeable individuals on IDNLearn.com. Get the information you need from our community of experts who provide accurate and thorough answers to all your questions.

2x-3y=31
3x+2y=1

Solve by elimination method

Sagot :

SchwarzschildRadiusidn
So,

Let's eliminate the y's.

Multiply the first equation by 2
4x - 6y = 62

Multiply the second equation by 3
9x + 6y = 3

Add the two equations together
13x = 65

Divide both sides by 13
x = 5

Substitute in the second equation
3(5) + 2y = 1
15 + 2y = 1

Subtract 15 from both sides
2y = -14

Divide both sides by 2
y = -7

Check
3(5) + 2(-7) = 1
15 + -14 = 1
1 = 1 This checks.

2(5) - 3(-7) = 31
10 - -21 = 31
10 + 21 = 31
31 = 31 This also checks.

S = {(5,-7)}
Panoyinidn
2x -  3y = 31  ⇒ 6x -  9y = 93
3x + 2y = 1    ⇒ 6x + 4y = 2   
                                -5y = 91
                                 -5     -5
                                   y = -18 1/5
              2x - 3(-18 1/5) = 31
                   2x + 54 3/5 = 31
                         - 54 3/5 - 54 3/5
                                 2x = -24 3/5
                                  2            2
                                   x = -12 3/10
                             (x, y) = (-12 3/10, -18 1/5)
We value your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Discover the answers you need at IDNLearn.com. Thanks for visiting, and come back soon for more valuable insights.