Question

Solve each system by the substitution method. If there is no solution or an infinite number of solution, so state. Use set notation to express solution sets.

Answer 1

Answer:

(b) x = 43/5, y = -1/5

Step-by-step explanation:

(b)

x = 2y + 9 ......................................(1)

x = 7y + 10 .....................................(2)

From these equations, we can write

2y + 9 = 7y + 10

7y - 2y = 9 - 10

5y = -1

y = -1/5

Using y = -1/5 in (1)

x = 2(-1/5) + 9

= 9 - 2/5

= 43/5