Question

x+5y=22 and 2x-3y=-8 solve this by substitution method​​

Answer 1

Answer:

x=2

y=4

Step-by-step explanation:

x+5y=22

x= 22-5y

sub in 2

2x-3y=-8

2(22-5y) -3y =-8

44 - 10y -3y =-8

44+8 = 13y

52 =13y

y = 52/13

y= 4

sub in 1

x= 22-5×4

x= 22-20

x= 2

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Answer 2

$\sf{\huge{\underline{\green{Given :-}}}}$

The two equations :-

• x+5y=22

• 2x-3y=-8

$\sf{\huge{\underline{\green{To\:Find :-}}}}$

• Find the value of x & y by substitution method.

$\sf{\huge{\underline{\green{Answer :-}}}}$

We have two equations,

• x + 5y = 22 ------(1)

• 2x - 3y = -8 ------(2)

Solving the first,

x + 5y = 22

➝ 5y = 22 - x

➝ y = $\dfrac{22 - x}{5}$

Putting in 2 equation,

2x - 3 × $\dfrac{22 - x}{5}$ = -8

2x - $\dfrac{3 \times (22 - x)}{5}$ = -8

2x - $\dfrac{66 - 3x}{5}$ = -8

$\dfrac{10x - 66 - 3x}{5}$ = -8

10x - 66 - 3x = -8 × 5

10x - 66 - 3x = -40

10x - 3x = -40 + 66

7x = 26

x = 26/7

Putting in 1 equation,

x + 5y = 22

x + 5 × 26/7 = 22

x + 130/7 = 22

x = 22 - 130/7

x = 154 - 130 /7

x = 24/7

$\sf{\huge{\underline{\green{Verification :-}}}}$

x+5y=22

➝ 24/7 + 5 × 26/7 = 22

➝ 24/7 + 130/7 = 22

➝ 154/7 = 22

➝ 22 = 22

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