# For the equations y + 2x = 19 and 2x – 3y = − 3, find the value of D. - Algebra

Sum

For the equations y + 2x = 19 and 2x – 3y = − 3, find the value of D.

#### Solution

The given equations are

y + 2x = 19

i.e., 2x + y = 19

2x – 3y = – 3

Comparing the given equations with a1x + b1y = c1 and a2x + b2y = c2,

we get

a1 = 2, b1 = 1, c1 = 19

a2 = 2, b2 = – 3, c2 = – 3

∴ D = |("a"_1, "b"_1),("a"_2, "b"_2)|

= |(2, 1),(2, -3)|

= 2 × (– 3) – 1 × 2

= – 6 – 2

= – 8

Concept: Determinant of Order Two
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