Question

solving linear equations by cross multiplication method x+2y=2 , x-3y=7

Answer 1

hope it helps you......!

Answer 2

Answer:

The answer is x = -4; y = 1.

Step-by-step explanation:

Comparing the given equations with

$a_1x + b_1y = c_1\\a_2x + b_2y = c_2$

We get

$a_1 = 1, b_1 = 2, c_1 = 2\\a_2 = 1, b_2 = -3, c_2 = 7$

According to cross multiplication method:

$x = \frac{b_1c_2 - b_2c_1}{b_2a_1 - b_1a_2} \\y = \frac{c_1a_2 - c_2a_1}{b_2a_1 - b_1a_2}$

Hence,

$x = \frac{14 + 6}{-3 -2} \\y = \frac{2 - 7}{-3 -2}$

$x = -\frac{20}{5} \\y = \frac{5}{5}$

Hence,

x = -4

y = 1

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