how to solve the following equation by substitution method :3x+4y=-6 ;3x-y=9

The given equations are :3x + 4y = -6  .....13x - y = 9    .....2Now, we will calculate the value of one of the variable in terms of another variable.From 1, we getx = -6-4y3Now, put the value of x in 2, we get3 × -6-4y3 - y = 9-6-4y-y = 9-5y = 15y = -3Now, x = -6 + 123 = 2

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let 3x + 4y = -6 be equation 1
& 3x - y = 9 be equation 2

now ,In equ. 2
3x - y = 9
- y = 9- 3x
y = - 9+ 3x

Now ,putting the value of y in equ.1
3x + 4(-9 +3x)= - 6
3x - 36 + 12x= -6
15x - 36= -6
15x = - 6 +36
15x = 30
x = 30÷15
x = 2

Now, putting the value of x in equ.2
3(2) - y = 9
6 - y = 9
-y = 9 - 6
-y = 3
y = -3

hence, the valve of
x = 2
y = -3
Done substitution method.
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