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Remedy a system of two linear equations rapidly utilizing this trick. It really works 100% of the time and also you waste no time, particularly if you’re taking an examination.

Trick #1:

Use when the system has the next format

x + y = e

x – y = f

x = (e + f)/2 and y = (e – f)/2

**Instance #1:**

x + y = 18

x – y = 6

x = (18 + 6)/2 = 24/2 = 12

y = (18 – 6)/2 = 12/2 = 6

**Instance #2:**

x + y = 9

x – y = 5

x = (9 + 5)/2 = 14/2 = 7

y = (9 – 5)/2 = 4/2 = 2

Trick #2:

Use when the system has the next format

ax + by = e

cx + dy = f

**Instance #3:**

3x + y = 5

2x + 3y = 8

Right here is discover x in about 7 seconds

First rewrite every little thing with out the variables. When searching for x, discover how we cross out the numbers that had been hooked up to x to search out the quantity on prime. Cross multiply as proven. Earlier than you multiply from backside to prime, put a subtraction signal.

Right here is discover y in about 7 seconds

Once more, rewrite every little thing with out the variables. When searching for y, cross out the numbers that had been hooked up to y.

Discover that the quantity that you just use to divide the quantity on prime is all the time the identical.

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