Question

Which ordered pair is a solution of the equation y = 3x+5

Answer 1

Answer:

All you have to do is insert the first value where the x is, and the second value where the y is.

y = 3x + 5

11 = 3(2) + 5

11 = 6 + 5

11 = 11

So, this is right.

Now, let's check (3,13)

y = 3x + 5

13 = 3(3) + 5

13 = 9 + 5

13 = 14

This is NOT true. So, your answer is: Only (2,11)

Hope this helps!  

Answer 2

Ordered pair is simply the solution to a system of equation.

The solution is: (2,11)

The equation are given as:

$\mathbf{y = 3x + 5}$

From the options we have: (2,11), (4,6)

Substitute (2,11) in $\mathbf{y = 3x + 5}$

$\mathbf{11 = 3(2) + 5}$

Open bracket

$\mathbf{11 = 6 + 5}$

$\mathbf{11 = 11}$ --- this means that: (2,11) is a solution to $\mathbf{y = 3x + 5}$

Substitute (4,6) in $\mathbf{y = 3x + 5}$

$\mathbf{6 = 3(4) + 5}$

Open bracket

$\mathbf{6 = 12 + 5}$

$\mathbf{6 = 17}$ --- this means that: (4,6) is not a solution to $\mathbf{y = 3x + 5}$

Hence, the solution to $\mathbf{y = 3x + 5}$ is: (2,11)

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