Question

Paul was asked to use the elmination to find the solution to the system of linear equations

Answer 1

Option B is correct.

Step-by-step explanation:

Paul was asked to use the elmination to find the solution to the system of linear equations

$5x + 4y = 1\\-2x-8y = -26$

What are the missing steps in his work below?

$Let\\5x + 4y = 1\,\,eq(1)\\-2x-8y = -26\,\,eq(2)\\10x + 8y = 2 + (-2x-8y = -26) \\8x + 0y = -24 \\8x = -24 \\x = -3 \\Putting\,\,value\,\,of\,\,x\,\,in\,\,eq(1)\\5x + 4y = 1 \\5(-3) + 4y = 1\\-15 + 4y = 1 \\4y = 16\\y=4$

So, the step missing is multiplying equation 1 by 2 i.e

$2\times [5x + 4y = 1] \\10x + 8y = 2$

So, Option B is correct.

Keywords: System of equations

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