Solve each system by elimination

6x+3y=21

-12x+y=-7

(x, y) = (1,5)

Step-by-step explanation:

6x+3y=21/*2

-12x+y=-7

12x+6y=42 (1)

-12x+y=-7 (2)

(1) + (2) : 7y=35

-12x+y=-7

y=35/7

-12x+y=-7

y=5

-12x+5=-7

y=5

-12x=-7-5

y=5

-12x=-12

y=5

x=-12 / (-12

y=5

x=1

(x, y) = (1,5)

x=1, y=5

Step-by-step explanation:

6x+3y=21 ... (1)

-12x+y=-7 ... (2)

From (2) make y the subject of formula

y=-7+12x ... (3)

Substitute (3) into (1)

6x+3 (-7+12x) = 21

6x-21+36x=21

Collect like terms

6x+36x=21+21

42x=42

Divide both sides by 42

x=1

Substitute the value of x into (3)

y=-7+12 (1)

y=-7+12

y=5

Therefore x=1, y=5