Question

8/2/20 - KnowCheck 5 / 16

Solve the following system of equations

9X + 6Y = -3
5X + 6Y = 9

Answer 1

To solve the given system of equations (9X + 6Y = -3 and 5X + 6Y = 9), we use the elimination method to find X = -3 and then substitute this value into one of the equations to find Y = 4.

Step-by-step explanation:

To solve the following system of equations:

1. 9X + 6Y = -3
2. 5X + 6Y = 9

We can use the method of elimination. As both equations have the same coefficient for Y, we can subtract the second equation from the first to eliminate Y:

9X + 6Y - (5X + 6Y) = -3 - 9

Which simplifies to:

4X = -12

Dividing both sides by 4 gives us:

X = -3

Now we can substitute X = -3 into either equation to find Y. Using the second equation:

5(-3) + 6Y = 9

-15 + 6Y = 9

Add 15 to both sides:

6Y = 24

Divide by 6:

Y = 4

The solution to the system of equations is X = -3 and Y = 4.

Answer 2

To solve the system of linear equations, use subtraction to eliminate one variable and solve for the other. By subtracting the second equation from the first, we find X = -3. Then, by substituting X into the second equation, we get Y = 4.

Step-by-step explanation:

To solve the system of equations:

1. 9X + 6Y = -3
2. 5X + 6Y = 9

We can use the method of subtraction to find the value of X, since the coefficients of Y are the same. By subtracting the second equation from the first, we get:

1. 9X - 5X + 6Y - 6Y = -3 - 9

Which simplifies to:

1. 4X = -12

Dividing both sides by 4 gives us X = -3. To find Y, we can substitute X into either one of the original equations. Using the second equation:

1. 5(-3) + 6Y = 9
2. -15 + 6Y = 9
3. 6Y = 24
4. Y = 4

Therefore, the solution to the system of equations is X = -3 and Y = 4.