Question

Y=2x−1
5x−4y=1
​

Is (1,1) a solution of the system?

Answer 1

Yes, (1,1) is the solution set of the system.

Explanation:

Given that:

y=2x−1 ---------- eq1

5x−4y=1 -------- eq2

We have to check that (1,1) is the solution of system or not.

From the solution set, x=1 and y =1

So by putting values of x and y in eq1:

1 = 2(1) - 1

1 = 2 -1

1=1 (satisfied)

Now putting values of x and y in eq2:

5(1) - 4(1) = 1

5 - 4 = 1

1=1 (satisfied)

So (1,1) is the solution set for the given system of equations.

i hope it will help you!