Question

Brent wants to solve this system of equations using subtraction 4X minus 5Y equals 11 and 8X minus 5Y equals 27 list the steps he should follow to solve the equations what is the solution

Answer 1

Solution is x=4 and y=1.

Explanation:

We are given with 4 x-5 y=11

And 8 x - 5 y =27

Let's solve them using elimination method.

Subtract the equations to get rid the 'y' terms. Or, multiply the second equation and add them together.

4 x -5 y =11

-8 x+5 y =-27

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

-4x =-16

Divide both sides by -4.

x =4.

Now, plug in x as 4 into any of the given equations to find the corresponding y.

4(4) -5 y =11

16 -5 y =11

Subtract both sides 16.

-5y =-5

Divide both sides by -5

y=1