Question

Solve.

{5x+y=2
{4x+y=4

Use the linear combination method.


(1, −8)

(0, 2)

(−2, 12)

(−3, 17)

Answer 1

Given these two equations:

1) 5x + y = 2
2) 4x + y = 4

Let's solve for x and y step by step.

Step 1: We start by subtracting equation (2) from equation (1) to eliminate y:

This gives us:

5x - 4x = 2 - 4

Which simplifies to:

x = -2

Step 2: Now, we substitute x = -2 into the equation (1) to find the value of y:

5*(-2) + y = 2

Which simplifies to:

-10 + y = 2
And therefore:

y = 12

So, the solution to the system of equations is x = -2 and y = 12.

Answer 2

the answer to the question is c