Question

Solve the system of linear equations by adding or subtracting:

-2x + y = -7
2x - 5y = -5
Enter the solution as an ordered pair.
a) (1, 5)
b) (-1, 7)
c) (2, 6)
d) (3, 4)

Answer 1

To solve the system of linear equations -2x + y = -7 and 2x - 5y = -5, we can eliminate one variable by adding or subtracting the equations. The solution to the system of linear equations is (6.67, 6.33).

Step-by-step explanation:

To solve the system of linear equations -2x + y = -7 and 2x - 5y = -5, we can eliminate one variable by adding or subtracting the equations. Let's eliminate the x variable. We can do this by multiplying the first equation by 2, giving us -4x + 2y = -14, and then adding this to the second equation. This eliminates the x terms:

-4x + 2y = -14
+ 2x - 5y = -5

-3y = -19

To solve for y, we divide both sides of the equation by -3:

y = 19/3 = 6.33

Substituting this value back into one of the original equations, we can solve for x:

-2x + 6.33 = -7

-2x = -13.33

x = 13.33/2 = 6.67

Therefore, the solution to the system of linear equations is (6.67, 6.33).