Question

1.11. a)y = x - 1,x + 3y = 9;​

Answer 1

y=x-1

x+3y=9

y=x-1

x+3(x-1)=9

x+3x-3=9

4x=9+3

4x=12

x=3

y=x-1

x=3

y=3-1

x=3

y=2

x=3

(3;2)

Answer 2

To solve the system of equations:

a) y = x - 1 x + 3y = 9

We can use the substitution method or the elimination method. Let's solve it using the substitution method:

Step 1: Substitute the value of y from the first equation into the second equation. x + 3(x - 1) = 9

Step 2: Simplify and solve for x. x + 3x - 3 = 9 4x - 3 = 9 4x = 9 + 3 4x = 12 x = 12 / 4 x = 3

Step 3: Substitute the value of x back into the first equation to find y. y = 3 - 1 y = 2

Therefore, the solution to the system of equations is x = 3 and y = 2.