Question

I need some help on here

Answer 1

Answer: Yes, it is a solution

Explanation:

Plug (x,y) values into the equations.

Plug in (3,9)

y=6x-9 ---->. (9)=6(3)-9 ----> 9=18-9 -----> 9=9

y=2x+3 ------>. (9)=2(3)+3 ----> 9=6+3 ----> 9=9

When know (3,9) is a solution because each side has the same value.

Example:

8=9 Not a solution

5=5 A solution

Answer 2

`\huge\boxed{\sf Yes.}`

Explanation:

Given Equations:

y = 6x - 9 ---------------(1)

y = 2x + 3 --------------(2)

Coordinate point:

• (x, y) = (3, 9)

So,

x = 3, y = 9

Put this in Eq. (1) to verify.

9 = 6(3) - 9

9 = 18 - 9

9 = 9 [Equation satisfied]

Now, put x = 3, y = 9 in Eq. (2)

9 = 2(3) + 3

9 = 6 + 3

9 = 9 [Equation satisfied]

Since, both the equations are satisfied by the values of x and y, we can say that x = 3 and y = 9 is the solution to the system.

`\rule[225]{225}{2}`