Question

Use substitution to solve the system of equations. How many solutions are there?

12x − 13y = 5
x = 23y + 10

Answer 1

Answer:

x = - 15/263

y = - 115/263

Step-by-step explanation:

12x - 13y = 5

x = 23y + 10

12(23y + 10) - 13y = 5

276y + 120 - 13y = 5

263y = 5 - 120

263y = - 115

y = - 115/263

x = 23(-115/263) + 10

x = - 2645/263 + 10

x = (2630 - 2645)/263

x = - 15/263

Answer 2

Answer:

One solution:

(-0.057, -0.437)

Step-by-step explanation:

12x − 13y = 5

x = 23y + 10

12(23y + 10) - 13y = 5

276y - 13y = 5 - 120

263y = -115

y = -0.437

x = 23y + 10

x = -0.057