Question

Solve the equations
5x-8y=14
5x-7y=6

Answer 1

x = -10, y = -8

Explanation:

We will use the method of elimination to find y.

Step 1: 5x - 8y = 14

-

5x - 7y = 6

Step 2: 0x - y = 8

Step 3: y = -8

Now, we have to substitute the y value into one of the original equations. In this case we will use the first equation which is 5x - 8y = 14.

5x - 8(-8) = 14

5x + 64 = 14

5x = - 50

x = -10

Just to make sure we have the right values, we will substitute both values into one of the equations.

5(-10) - 7(-8) = 6

-50 + 56 = 6

6 = 6 True

5(-10) - 8(-8) = 14

-50 + 64 = 14

14 = 14 True

Both of these values work, so they are the answers.

Hope this helps!

Answer 2

In the explanation. :)

Explanation:

{x,y}={2,3}

Hope this helps. Have a great day!