Question

How do you solve this system of equations: `5y - 4x = 10 and x - 7y = - 37`?

Answer 1

x = -`1957/23`
y = -`158/23`

Explanation:

1. Solve equation 2 for x
   x - 7y = 37
   x = 7y + 37

2. Substitute (7y + 37) in for x in equation 1
   5y - 4(7y + 37) = 10

3. Solve equation for y
   5y - 28y - 148 = 10
   -23y = 158
   `y = -158/23`

4. Subsititute and solve
   `-158/23` in for y in equation 2
   x - 7( -158/23 ) = -37
   x + `1106/23` = -37
   x = -`1957/23`

5. x = -`1957/23`
   y = -`158/23`

You can divide each x and y for the decimal form too!