Question

Solve the system of equations by using substitution. Show all work. List your answer as an ordered pair. 3x+2y=6 and 2/3y-x=6

Answer 1

Answer:

Thx

Step-by-step explanation:

Answer 2

➲QUESTION:-

Solve the system of equations by using substitution.

➲SOLUTION:-

USING SUBSTITUTION METHOD:

(1)➥3x+2y=6

➠3x = 6 - 2y

➠x = $\frac{6 - 2y}{3}$

(2)➥$\frac{2}{3y - x}$=6

➠2 = 6(3y - x )

➠2 = 18y -6x

➠6x -18y = 2

➠6 ($\frac{6 - 2y}{3}$) - 18y = 2

➠$\frac{36 - 12y}{3}$- 18y = 2

➠$\frac{36 - 12y - 54y}{3} = 2$

➠36 -66y = 6

➠66y = 36-6

➠y = $\frac{30}{66}$

➠y = $\frac{5}{11}$

sub/:- y = $\frac{5}{11}$in (1)

➠3x+2y=6

➠3x+2 ($\frac{5}{11}$) = 6

➠3x + ($\frac{10}{11}$) = 6

➠$\frac{33x 10}{11}$ = 6

➠33x + 10 = 66

➠33x = 66-10

➠33x = 56

➠x =$\frac{56}{33}$

therefore ,

• x = $\frac{56}{33}$
• y = $\frac{5}{11}$

◆ ━━━━━━━━❪✪❫━━━━━━━━ ◆

USING ELIMINATION METHOD :

(1)➜3x+2y=6

(2)➜$\frac{2}{3y - x}$=6

➠2 = 6(3y - x )

➠2 = 18y -6x

➠6x -18y = 2

by elimination method ,

(1)× 2 ➜6x + 4y = 12

(2) ➜6x -18y = 2

________________

➠22y = 10

➠y = $\frac{10}{22}$

➠ y = $\frac{5}{11}$

sub/:- y = $\frac{5}{11}$in (1)

➠3x+2y=6

➠3x+2 ($\frac{5}{11}$) = 6

➠3x + ($\frac{10}{11}$) = 6

➠$\frac{33x + 10}{11}$ = 6

➠33x + 10 = 66

➠33x = 66-10

➠33x = 56

➠x =$\frac{56}{33}$