Question

2x + 3y = 15 x + y = 6 work out x and y

Answer 1

Answer:

x=3

y=3

Step-by-step explanation

Answer 2

Solution :

Here we have been given with two equations and we will solve them by substitution by elimination method.

• 2x + 3y = 15 (Equation No 1)
• x + y = 6 (Equation No 2)

Transposing y in 1st equation from L.H.S. to R.H.S. it would be negative,

$\implies \: \displaystyle\sf{x \: = \: 6 - y}$

Now, we would substitute this value of x in Equation No 1.

$\implies \: \displaystyle\sf{2 \: (6 - y) \: = \:15 }$

$\implies \: \displaystyle\sf{2 \: \times (6 - y) \: = \:15 }$

$\implies \: \displaystyle\sf{12 - 2y \: = \:15 }$

Transposing 12 to R.H.S.,

$\implies \: \displaystyle\sf{ - 2y \: = \:15 - 12 }$

$\implies \: \displaystyle\sf{ - 2y \: = \:3}$

$\implies \: \displaystyle\bf{ y \: = \: - \dfrac{3}{2} }$

Therefore, value of y is - 3/2.

★ Finding out value of x:-

$\implies \: \displaystyle\sf{x \: = \: 6 - y }$

$\implies \: \displaystyle\sf{x \: = \: 6 - ( \dfrac{ - 3}{ 2} )}$

$\implies \: \displaystyle\sf{x \: = \: \frac{12 + 3}{2} }$

$\implies \: \displaystyle\bf{x \: = \: \frac{15}{2} }$

Henceforth,

• Value of x is 15/2.