Sundar used linear combination to solve the system of equations shown. He did so by multiplying the first equation by 5 and the second equation by another number to eliminate the y-terms. What number did Sundar multiply the second equation by?

2x+9y=41

3x+5y=36

Sundar multiplied the second equation by - 9.

Step-by-step explanation:

We are given two linear equations and we know that Sundar multiplied the first equation by 5 and the second equation by another number to eliminate the y-terms.

We are to find that another number.

2x+9y = 41 - - - (1)

3x+5y=36 - - - (2)

Multiplying the first equation by 5 we get:

10x + 45y = 205 - - - (3)

Since we have to eliminate the y terms so coefficients of y must be the same but with opposite signs. So we need - 45y in the second equation to eliminate it.

For this, we need to multiply the second equation by - 9 to get:

-27x - 45y = - 324