Question

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

Answer 1

Answer:

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