Question

Which constant could each equation be multiplied by to eliminate the x variable in this system of equations? 4x + 5y = 62 5x − 3y = 22

Answer 1

Answer:

Multiply equation $4x+5y=62$ by 5 and $5x-3y=22$ by 4

Step-by-step explanation:

Given:

Equations are $4x+5y=62,5x-3y=22$

To find: constant by which each equation should be multiplied to eliminate the variable $x$ in the given system of equations

Solution:

$4x+5y=62...(i)\\5x-3y=22...(ii)$

Multiply equation (i) by 5 and (ii) by 4 to get the following equations:

$20x+25y=310\\20x-12y=88$

On subtracting these equations, we get

$(20x+25y)-(20x-12y)=310-88\\\\13y=222$

So, the variable $x$ gets eliminated