Question

Solve these simultaneous equations: 3x = y and x = y - 16

Answer 1

x=8

y=24

Explanation:

3x=y

x=y-16

Substitute y for 3x

x=3x-16

Add 16 to each side

x+16=3x

Subtract x

16=2x

Divide each side by 2

8=x

y=3x=3×8=24

y=24

Answer 2

• Value of x is 8
• Value of y is 24

Explaination :

Here we have been given with two equations and we have to calculate the values of x and y. So we would be using substitution method for it.

• 3x = y (Equation No 1)
• x = y - 16 (Equation No 2)

Here we can clearly see that value of y is 3x. So we would substitute it in Equation No 2.

>> x = y - 16

>> x = 3x - 16

>> x - 3x = -16

>> -2x = -16

>> 2x = 16

>> x = 16 / 2

>> x = 8

★ Finding out value of y:-

>> y = 3x

>> y = 3 (8)

>> y = 3 × 8

>> y = 24
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