Question

Find the solution of the system of equations:

{
4x−y=−1
−4x−6y=−34
a) x=3,y=13
b) x=−4,y=3
c) x=2,y=−9
d) x=1,y=−5

Answer 1

The solution to the system of equations 4x - y = -1 and -4x - 6y = -34 is x = 1 and y = 5 after applying the elimination method.

Step-by-step explanation:

The student has asked to find the solution to a system of linear equations. The equations provided are:

1. 4x - y = -1
2. -4x - 6y = -34

To solve this system, we can use the method of elimination or substitution. Since the coefficients of x in both equations are opposites, we can add both equations to eliminate x:

• (4x - y) + (-4x - 6y) = -1 + (-34)
• -7y = -35
• y = 5

Now we substitute y = 5 into one of the original equations to find the value of x:

• 4x - (5) = -1
• 4x = 4
• x = 1

Therefore, the solution to the system of equations is x = 1 and y = 5.