Question

the following is a pair of linear equations in two variables: 7x-5y=4 and 14x+ky=-4 Answer the following with reference to the given pair: [1] write down the condition for a unique solution [2] Find the value of k.​

Answer 1

Step-by-step explanation:

1} Condition for Unique Solution to Linear Equations

A system of linear equations ax + by + c = 0 and dx + ey + g = 0 will have a unique solution if the two lines represented by the equations ax + by + c = 0 and dx + ey + g = 0 intersect at a point. i.e., if the two lines are neither parallel nor coincident.

2} in unique solution

a1/a2 = b1/b2

7/14=-5/k

K= -5×14/7

K= -10

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