Question

Solve this system of linear equations. Separate the x- and y-values with a comma.

3x + 3y = 12
11x + 5y = 2

A) x = -3, y = 5
B) x = -2, y = 4
C) x = 1, y = 3
D) x = 2, y = 2

Answer 1

The system of linear equations is solved by first simplifying and then using substitution. Following the steps, we find the solution to the equations is x = -3, y = 7.

Step-by-step explanation:

To solve the system of linear equations, we can use the method of substitution or elimination. The given equations are:

• 3x + 3y = 12
• 11x + 5y = 2

Let's first simplify the first equation by dividing both sides by 3:

• x + y = 4

This gives us an expression for y in terms of x:

• y = 4 - x

We can then substitute this expression for y into the second equation:

• 11x + 5(4 - x) = 2

Cleaning up, we get:

• 11x + 20 - 5x = 2
• 6x + 20 = 2
• 6x = -18
• x = -3

Now that we have x, we substitute back into y = 4 - x to find y:

• y = 4 - (-3)
• y = 7

Hence, the solution to the system of equations is x = -3, y = 7.