Simultaneous equations are really straight forward.

You are given two equations:
2x + y = 14
5x + 2y = 30

Find out the values of both ‘x’ and ‘y’.

Step 1:
Choose a variable (either x or y) and make their coefficients in both equations equal. Let us use ‘y’ for this problem.
In the first equation, coefficient of y = 1
In the second equation, coefficient of y = 2
We must make the coefficient of ‘y’ in equation one = 2
So we multiply the whole equation one by 2.
We get the following equation:
2 [2x + y = 14]
4x + 2y = 28
Hence, we made the coefficient of y = 2

Step 2:
Rearrange both equations to make ‘2y’ the subject of the formula.
Equation 1: 2y = 28 – 4x
Equation 2: 2y = 30 – 5x

Step 3:
We get:
2y = 28 – 4x = 30 – 5x
28 – 4x = 30 – 5x
-4x + 5x = 30 – 28
x = 2

Step 4:
Substitute the value of (x = 6) in any equation.
2x + y = 14
2(2) + y = 14
4 + y = 14
y = 10

Step 5:
Ensure that you have arrived at the correct answers by substituting the values of ‘x’ and ‘y’ in the other equation.
5x + 2y = 30
5(2) + 2(10) = 30
10 + 20 = 30

Hence, we have arrived at the correct answer.