Question

Solve sum x+y=5 ,3x+2y=8 by substitution method

Answer 1

Step-by-step explanation:

x + y = 5

x = 5 - y .....1st eq

3x +2y = 8

than

3 ( 5 - y ) + 2y = 8

15 - 3y + 2y = 8

15 - 8 = y

7 = y

hence,

x + 7 = 5

x = 2

Answer 2

GIVEN

• The equation
• X+Y=5----------(1)
• 3X+2Y=8-------(2)

Here, solving the equation by substituting method

• X+Y=5
• X=5-y------(3)

Now putting the value of X=5-y in EQ 2

• 3x+2y=8
• 3*(5-y)+2y=8
• 15-3y+2y=8
• 15-y=8
• y=15-8
• y=7

Than, substituting the value of y in EQ (3)

• X=5-y
• X=5-7
• X=-2

Hence,

• The value of X=-2 and Y=7

$\bold\purple{\boxed{*Verification*}}$

X+Y=5------(1)

• -2+7=5
• 5=5

3X+2Y=8----------(2)

• 3*(-2)+2*7=8
• -6+14=8
• 8=8

Hence, verified