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y=3x-5
3y-12x=-6
Substitution method

Sagot :

HeyDBidn
Replace all occurrences of y with the solution found by solving the last equation for y. In this case, the value substituted is 3x−5.
y=3x−5 
3(3x−5)−12x=−6

Simplify each term.
y=3x−5 
9x−15−12x=−6

Add 9x and −12x to get −3x.
y=3x−5 
−3x−15=−6

move -15 to the right-hand side of the equation by adding 15 to both sides.
y=3x−5 
−3x=15−6

Subtract 6 from 15 to get 9.
y=3x−5 
−3x=9

Simplify

(−3,−14)
Panoyinidn
1y =  3x - 5    ⇒ 1y -  3x = - 5 ⇒ 3y +  9x = 15
3y - 12x = -6 ⇒ 3y - 12x =   6 ⇒ 3y - 12x =   6
                                                           21x = 21
                                                            21     21
                                                               x = 1
                                                      y - 3(1) = -5
                                                          y - 3 = -5
                                                             +3   +3
                                                               y = 2
                                                         (x, y) = (1, 2)
                        
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