Question

What is the solution to the following of equations {5x-3y=34 x-2y=4?

Answer 1

x-2y = 4 - (1)
5x-3y = 34 - (2)

In equation (1), x = 4+2y
Now, substitute it in equation (2),
5(4+2y)-3y = 34
20+10y-3y = 34
20+7y = 34
7y = 14
y = 2

Now, substitute in equation (1),
x-2(2) = 4
x-4 = 4
x = 4+4 = 8

So, x=8 & y=2

Answer 2

5x - 3y = 34
x - 2y = 4....multiply by -5
---------------
5x - 3y = 34
-5x + 10y = -20 (result of multiplying by -5)
--------------add
7y = 14
y = 14/7
y = 2

x - 2y = 4
x - 2(2) = 4
x - 4 = 4
x = 4 + 4
x = 8

solution is (8,2)