Question

PLEASE I NEED HELP QUICKLY!!! Find the solution for the given system of equations in the form (x,y).

Answer 1

Answer:

• (4, - 4)

Step-by-step explanation:

Given system:

• -x + y = 8
• 7x + 3y = - 16

Multiply the first equation by 7 and add up the equations:

• -7x + 7y + 7x + 3y = 7*8 - 16
• 10y = 40
• y = 4

Find y:

• -x + 4 = 8
• -x = 4
• x = - 4

Answer 2

Solution:

Note that:

• Given equations: -x + y = 8 and 7x + 3y = -16

Solving the system of equations to find the value of x and y:

• 7(-x + y = 8)

        7x + 3y = -16

• -7x + 7y = 56

        7x + 3y = -16

• 10y = 40
• => y = 40/10 = 4

Substituting the value of y into any equation to find the value of x:

• 7x + 3y = -16
• => 7x + 3(4) = -16
• => 7x + 12 = -16
• => 7x = -16 - 12
• => 7x = -28
• => x = -28/7 = -4

Putting the values in the form (x,y):

• (x,y) ⇒ (x = -4,y = 4) ⇒ (-4,4)

Correct option is D.