Question

Y=2x−1

5x−4y=1
​

Is (1,1)(1,1)left parenthesis, 1, comma, 1, right parenthesis a solution of the system?

Answer 1

(1,1) is a solution of the system.

Explanation:

Let's solve the system.

y = 2x - 1

5x - 4y = 1

In the first equation, y is already separated as a function of x. So we replace in the second equation;

5x - 4(2x - 1) = 1

5x - 8x + 4 = 1

4 - 1 = 8x - 5x

x = 1

y = 2x - 1 = 2(1) - 1 = 1

(1,1) is a solution of the system.