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Naya [18.7K]
4 years ago
8

Solve the system of linear equations by substitution. 2x-y=3 x+5y=14

Mathematics
1 answer:
adoni [48]4 years ago
4 0
Let 2x – y = 3 ——— equation 1

Let x + 5y = 14 ——— equation 2

Making x the subject in eqn 1, = x = y + 3 / 2 ——— eqn 3

• Put eqn 3 in eqn 2

(y + 3 / 2) + 5y = 14

6y = 14 – 3/2

6y = 25/2

y = 25/12

• put y = 25/12 in eqn 3

x = (25/12 + 3/2)

x = 43/12
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Solve equation for the x
Alenkasestr [34]
We can either use the quadratic formula or completing the square.

I'll use the method if completing the square.

x^2 + 10x + 12 = 36

Move the constant over to the other side.

x^2 + 10x = 24

Add (b/2)^2 to both sides.

x^2 + 10x + (10/2)^2 = 24 + (10/2)^2

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