Question

Which ordered pair (a,b) is the solution to the following system of equations? -2a+3b=14, a-4b=3. (-13,-4), (-4,-13), (16 10/11,8/11), (-4, 13). Please help, hurry please

Answer 1

The ordered pair (-13, -4) is the solution to the system of equations.

Step-by-step explanation:

To find the ordered pair that is a solution to the system of equations -2a+3b=14 and a-4b=3, we need to solve the system of equations simultaneously.

We can use the method of substitution or elimination to find the values of a and b that satisfy both equations. Let's use the method of elimination:

1. Multiply the second equation by 2 to make the coefficients of a in both equations the same:

• 2(a-4b)=2(3)
• 2a-8b=6

Add the equations together:

• -2a+3b + (2a-8b) = 14 + 6
• -5b = 20

Divide both sides of the equation by -5 to solve for b:

• b = -4

Substitute the value of b into one of the original equations to solve for a:

• a - 4(-4) = 3
• a + 16 = 3
• a = -13

Therefore, the ordered pair (-13, -4) is the solution to the system of equations.

Answer 2

A. (-13, -4)

Step-by-step explanation: