Find the value of y that satisfies the following system of equations, 5x - 3y = 4 and 3x - 5y = -10.

Answer 1

5x - 3y = 4

3x - 5y = -10

Elimination: 3*Eq1 and -5 * Eq2

15x - 9y = 12

-15x + 25y = 50

16y = 62

y = 62/16 = 31/8

5x - 3(31/8) = 4

5x - 93/8 = 4

5x = 4 + 93/8

5x = (32+93)/8

x = (32+93)/40

x = 125/40 = 25/8

CHECK

3(25/8) - 5(31/8) = 75/8 - 155/8 = -80/8 = -10

The solution checks: (x=25/8, y = 31/8)