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.