Question

if x=10 what is the value of y in the equation 3x+5y=60

Answer 1

The answer is 6
Explanation: because you substitute the given value of x which is 10 into x so 3(10) and multiply that which would give you 30+5x=60 after that subtract 30 from both sides to get 5x alone so 60-30=30 so now we have 5y=30 now divide5 from both sides to get y alone so 5 cancels 5 and 30 divided by 5 would give you y=6

Answer 2

Given :-

• x = 10
• 3x + 5y = 60

To find :-

• value of y

Solution :-

$\looparrowright \sf3x + 5y = 60$

Put value of x in the equation!

$\looparrowright \sf3(10)+ 5y = 60$

$\looparrowright \sf3 \times 10+ 5y = 60$

$\looparrowright \sf30+ 5y = 60$

$\looparrowright \sf5(6 + y) = 60$

$\looparrowright \sf(6 + y) = 60 \div 5$

$\looparrowright \sf6 + y= \dfrac{60}{5}$

$\looparrowright \sf6 + y=\cancel \dfrac{60}{5}$

$\looparrowright \sf6 + y= \dfrac{12}{1}$

$\looparrowright \sf6 + y=12$

$\looparrowright \sf y=12 - 6$

$\looparrowright \bf y=6$

Verification:-

$\looparrowright \sf3x + 5y = 60$

Put value of x and y.

$\looparrowright \sf3(10)+ 5(6) = 60$

$\looparrowright \sf3 \times 10+ 5(6) = 60$

$\looparrowright \sf30+ 5(6) = 60$

$\looparrowright \sf30+ 5 \times 6= 60$

$\looparrowright \sf30+ 30= 60$

$\looparrowright \bf60= 60$

LHS = RHS

HENCE VERIFIED!