We have two equations 3 x-4 y-15 x-6 y-7In the above equations- to equate the coefficients of x- what has to be done-A- Multiply equation 1 by 5 and equation 2 by 3B- Multiply equation 1 by 7 and equation 2 by 1C- Multiply equation 1 by 6 and equation 2 by 4D- Multiply equation 1 by 3 and equation 2 by 5

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Linear Equations in Two Variables

We have two e...

Question

We have two equations
$3 x - 4 y = 1$ ---------- (1)
$5 x - 6 y = 7$ ---------- (2)
In the above equations, to equate the coefficients of x, what has to be done?

Multiply equation (1) by 6 and equation (2) by 4

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Multiply equation (1) by 3 and equation (2) by 5

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Multiply equation (1) by 5 and equation (2) by 3

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Multiply equation (1) by 7 and equation (2) by 1

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Solution

The correct option is C Multiply equation (1) by 5 and equation (2) by 3
Coefficient of x in equation (1) is 3
Coefficient of x in equation (2) is 5
So, to make x coefficients equal, multiply equation (1) by 5 and equation (2) by 3.
$E q u a t i o n (1) \times 5 \Rightarrow 15 x - 20 y = 5$
$E q u a t i o n (2) \times 3 \Rightarrow 15 x - 18 y = 21.$

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We have two equations 3x–4y=1 ---------- (1) 5x–6y=7 ---------- (2) In the above equations, to equate the coefficients of x, what has to be done?

The correct option is C Multiply equation (1) by 5 and equation (2) by 3Coefficient of x in equation (1) is 3 Coefficient of x in equation (2) is 5 So, to make x coefficients equal, multiply equation (1) by 5 and equation (2) by 3. Equation(1)×5⇒15x–20y=5 Equation(2)×3⇒15x–18y=21.

We have two equations
$3 x - 4 y = 1$ ---------- (1)
$5 x - 6 y = 7$ ---------- (2)
In the above equations, to equate the coefficients of x, what has to be done?