Question

Use the elimination method to solve the system of equations. Choose the
correct ordered pair.
12x - y = 25
9x + y =17

Answer 1

Answer:

the ordered pair is (2,-1)

Step-by-step explanation:

We need to solve the system of equations using elimination method

12x - y = 25     eq(1)

9x + y = 17      eq(2)

Adding eq(1) and eq(2)

12x - y = 25

9x + y = 17

___________

21x = 42

x = 42/21

x= 2

Now, putting value of x in equation 1

12x - y = 25

12(2) -y = 25

24 -y = 25

Adding -24 on both sides

24 -y-24 = 25-24

-y = 25-24

-y = 1

Multiply both sides by -1

y = -1

the value of x = 2 and y = -1

So, the ordered pair is (2,-1)

Answer 2

Answer:

The solution is: (2, -1)

Step-by-step explanation:

I have the following system of equations

$12x - y = 25$

$9x + y =17$

Note that if we add both equations, the variable y is "eliminated".

So add the first equation to the second and solve for the variable x

$12x - y = 25$

$9x + y =17$

----------------------------------

$21x=42$

$x=\frac{42}{21}\\\\x=2$

Now substitute the value of x in any of the two equations and solve for the variable y

$9(2) + y =17$

$18 + y =17$

$y =17-18$

$y =-1$

The solution is: (2, -1)