Question

3x + 2y = 12

2x + 2y = 10

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Answer 1

Step-by-step explanation:

3x+2y=12

3x+y=12/2

x+y=3

2x+2y=10

x+y=5/2

Answer 2

Use them as simultaneous equations:

3x + 2y = 12 (equation 1)

2x + y = 7 (equation 2)

There are several ways you can calculate this. Below is only one of them:

Double everything in equation 2 to give 4x + 2y = 14

Subtract equation 1 from new equation 2 to give:

x = 2 (the y’s cancel each other)

Now use the value x = 2 to solve the original equations:

6 + 2y = 12 and

4 + y = 7

You will see that y = 3in both equations.

So the solution is: x=2. y=3

As an alternative method, you could have multiplied equation 1 by 2 and equation 2 by 3 to give the same x values, but that’s one extra calculation and unnecessary.