Searches related to which ordered pair (ab) is a solution to the given system (2a -5b=1, 3a+5b=14

Ordered pair: (3,1)

Step-by-step explanation:

Given: System of equation

2a - 5b = 1  and  3a + 5b = 14

Using elimination method.

In this method, we make same coefficient of any one variable and cancel it.

2a - 5b = 1  

3a + 5b = 14

We make coefficient of a same.

2a - 5b = 1     ( Multiply by 3)

6a - 15b = 3

3a + 5b = 14   (Multiply by -2)

-6a - 10b = -28

Add both equation

6a - 15b = 3

-6a - 10b = -28

     -25b = -25

          b = 1

Put b=1 into 2a - 5b = 1  

2a - 5(1) = 1

        2a = 6

          a = 3

Solution: a=3 and b=1

Ordered pair: (3,1)

Hence, The Ordered pair (3,1) is a solution to the given system of equation.

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17