Select the ordered pair(s) that are solutions to equation below:
`2x+3y=-12`
There are infinite solutions to the equation since it is a linear equation with two variables. However, if we want to find specific solutions, we can plug in values for either x or y and solve for the other variable. For example:
If we let x = 0, the equation becomes:
2(0) + 3y = -12
3y = -12
y = -4
So one solution is (0, -4).
If we let y = 0, the equation becomes:
2x + 3(0) = -12
2x = -12
x = -6
So another solution is (-6, 0).
Therefore, the ordered pairs that are solutions to the equation are (0, -4) and (-6, 0).
To find the solutions to the equation `2x + 3y = -12`, we need to find any ordered pair (x, y) that satisfies the equation.
Step 1: Let's start by picking a value for x and solving for y.
Let's set x = 0:
2(0) + 3y = -12
0 + 3y = -12
3y = -12
Divide both sides by 3:
y = -12/3
y = -4
So, one possible solution is (x, y) = (0, -4).
Step 2: Let's try another value for x.
Let's set x = 3:
2(3) + 3y = -12
6 + 3y = -12
3y = -18
Divide both sides by 3:
y = -18/3
y = -6
So, another possible solution is (x, y) = (3, -6).
Therefore, the ordered pair solutions to the equation 2x+3y=-12 are (0, -4) and (3, -6).
To find the ordered pair(s) that are solutions to the equation `2x + 3y = -12`, we need to substitute different values for x and y and check if the equation holds true.
Let's solve it step by step:
Step 1: Choose a value for x.
Let's say x = 0.
Step 2: Substitute the chosen value of x into the equation.
So, we have `2(0) + 3y = -12`.
Simplifying further, we get `3y = -12`.
Step 3: Solve for y.
Divide both sides of the equation by 3: `y = -4`.
So, the first ordered pair is x = 0, y = -4.
Now, let's try another value for x.
Step 1: Choose a value for x.
Let's say x = 5.
Step 2: Substitute the chosen value of x into the equation.
So, we have `2(5) + 3y = -12`.
Simplifying further, we get `10 + 3y = -12`.
Step 3: Solve for y.
Subtract 10 from both sides of the equation: `3y = -22`.
Divide both sides by 3: `y = -22/3`.
So, the second ordered pair is x = 5, y = -22/3.
Therefore, the solutions to the equation `2x + 3y = -12` are the two ordered pairs: (0, -4) and (5, -22/3).