Question

Solve the following system of equations. Express your answer as an ordered pair in the format (a,b), with no spaces between the numbers or symbols.
2x+5y=16
-5x-2y=2

Answer 1

Answer:

$\huge\boxed{(2,4)}$

Step-by-step explanation:

2x + 5y = 16 ------------------(1)

-5x -2y = 2   ------------------(2)

Multiplying (1) by 5

5(2x+5y) = 16*5

10x+25y = 80 ----------------(3)

Multiplying (2) by 2

2(-5x-2y) = 2*2

-10x - 4y = 4 -----------------(4)

Adding Eq. (3) and (4)

10x + 25y -10x -4y = 80 + 4

25y - 4y = 84

21y = 84

Dividing both sides by 21

y = 4

$\rule[225]{225}{2}$

Now, Putting y = 4 in Eq. (1)

2x + 5(4) = 16

2x + 20 = 16

2x = 20 - 16

2x = 4

Dividing both sides by 2

x = 2

$\rule[225]{225}{2}$

Ordered Pair = (x,y) = (a,b) = (2,4)

$\rule[225]{225}{2}$

Hope this helped!

~AnonymousHelper1807