Math Snap

STEP 1

Assumptions1. We are given the equation $7x -3y =11$.
. We need to check if the given ordered pairs are solutions to the equation.

STEP 2

We will check each ordered pair by substituting the values of $x$ and $y$ into the equation and seeing if the equation holds true.

STEP 3

First, let's check the ordered pair $(-1,-6)$. Substitute $x = -1$ and $y = -6$ into the equation.
$$7x -3y =7(-1) -3(-6)$$

STEP 4

Calculate the result.
$$7x -3y = -7 +18 =11$$

STEP 5

Since the result is equal to the right side of the equation, the ordered pair $(-1,-)$ is a solution to the equation.

STEP 6

Next, let's check the ordered pair $(-2,)$. Substitute $x = -2$ and $y =$ into the equation.
$$x -3y =(-2) -3()$$

STEP 7

Calculate the result.
$$7x -3y = -14 -21 = -35$$

STEP 8

Since the result is not equal to the right side of the equation, the ordered pair $(-2,7)$ is not a solution to the equation.

STEP 9

Next, let's check the ordered pair $(5,8)$. Substitute $x =5$ and $y =8$ into the equation.
$$7x -3y =7(5) -3(8)$$

STEP 10

Calculate the result.
$$7x -3y =35 -24 =$$

STEP 11

Since the result is equal to the right side of the equation, the ordered pair $(5,8)$ is a solution to the equation.

STEP 12

Finally, let's check the ordered pair $(0,-4)$. Substitute $x =0$ and $y = -4$ into the equation.
$$7x -y =7(0) -(-4)$$

STEP 13

Calculate the result.
$$7x -3y =0 +12 =12$$

Since the result is not equal to the right side of the equation, the ordered pair $(0,-4)$ is not a solution to the equation.
So, the ordered pairs $(-,-6)$ and $(,8)$ are solutions to the equation $7x -3y =11$, while the ordered pairs $(-2,7)$ and $(0,-4)$ are not.