Use this system of equations to answer the questions that follow. 4x – 9y = 7 –2x + 3y = 4

what number would you multiply the second equation by in order to eliminate the x-terms when adding to the first equation?

what number would you multiply the second equation by in order to eliminate the y-terms when adding to the first equation?

In order to eliminate the x-terms, multiply by equation 2 by 2.

In order to eliminate the y-terms, multiply equation 2 by 3.

The system of equations are known as simultaneous equation. In order to determine the value of x and y, the question is using an elimination method.

4x – 9y = 7 equation 1

–2x + 3y = 4 equation 2

In order to eliminate the x-terms, the value of x in equation 1 and 2 has to be equal. x has a value of 4 in equation 1 and a value of -2 in equation 2. Therefore, multiply equation 2 by 2. The value of x now becomes -4.

In order to eliminate the y-terms, the value of y in equation 1 and 2 has to be equal. y has a value of -9 in equation 1 and a value of 3 in equation 2. Therefore, to make the values equal multiply equation 2 by 3.

To learn more about simultaneous equations, please check: link

Step-by-step explanation:

The given system of equations is 4x - 9y = 7 and -2x + 3y = 4

In this system of equations in order to eliminate the x- terms we will multiply by a number so that coefficients of x may become same.

Therefore, to eliminate the x - terms we multiply second equation by 2.

Similarly to eliminate the y-terms we will multiply the equation by a number so that coefficient of y in both the equations become same.

Therefore, we will multiply second equation by 3.

i believe the correct answer is option 4.principalities were small territories that were run by russian rulers.

which statement correctly defines principalities in northern asia in the 1200s? principalities were small territories that were run by russian rulers.

hope i could ! : )

cross multiplying, we get :

⇒ (3) × (5) = (9) × (x)

⇒ 15 = 9x