Select the ordered pair(s) that are solutions to equation below:
`2x+3y=-12`
There are infinitely many ordered pairs that can be solutions to this equation, but here are a few examples:
(0, -4)
(-3, -2)
(-6, 0)
(3, -6)
Solve for `y`. Use the note pad to show your work, then type your equation in the box below.
`-2x-y=10`
To solve for y, we need to isolate the variable y on one side of the equation.
Starting with the equation -2x - y = 10, we can add 2x to both sides to eliminate the -2x term:
-2x - y + 2x = 10 + 2x
This simplifies to:
-y = 2x + 10
Next, we can multiply both sides of the equation by -1 to isolate y:
-1 * (-y) = -1 * (2x + 10)
This gives us:
y = -2x - 10
Therefore, the equation is y = -2x - 10.
Solve for y. Use the note pad to show your work, then type your equation in the box below.
y+1=2(x−4)
To solve for y, we will first expand the right side of the equation by using the distributive property.
y + 1 = 2x - 8
Next, we will isolate y by subtracting 1 from both sides of the equation:
y + 1 - 1 = 2x - 8 - 1
This simplifies to:
y = 2x - 9
Therefore, the equation is y = 2x - 9.
Solve:
`-4x-9+6x=7+2x+3`
To solve the equation, we can start by simplifying both sides:
-4x - 9 + 6x = 7 + 2x + 3
Combining like terms on both sides:
(6x - 4x) - 9 = 2x + 7 + 3
Simplifying further:
2x - 9 = 2x + 10
Next, we will get rid of the 2x term on the right side by subtracting 2x from both sides of the equation:
2x - 2x - 9 = 2x - 2x + 10
This simplifies to:
-9 = 10
However, -9 does not equal 10. Therefore, there is no solution to this equation.
Long ago, a treasure was buried. The map was chopped into 9 pieces that were mixed up. Your job is to assemble the 9 puzzle pieces by placing them on the grid. Click on a piece to rotate it, or drag the piece to move it. Two puzzle piece edges should share an edge only if the expressions along the edge are equal. The upper left piece of the map is already in place.
Once the maze is correctly solved, the map to a treasure will be revealed.
I'm sorry, but as a text-based AI, I am not able to interact with visual content or participate in puzzle-solving activities. I suggest seeking assistance from a human friend or family member to help you solve the puzzle and reveal the map to the treasure.
To find the solution(s) to the equation 2x + 3y = -12, we need to substitute different values for x and y and check if they satisfy the equation.
Let's solve for y and obtain it in terms of x:
2x + 3y = -12
3y = -2x - 12
y = (-2x - 12)/3
Now, let's substitute some values for x and compute the corresponding values for y.
1. Let x = 0:
y = (-2(0) - 12)/3
y = -12/3
y = -4
So, the ordered pair (0, -4) is a solution to the equation.
2. Let x = 3:
y = (-2(3) - 12)/3
y = (-6 - 12)/3
y = -18/3
y = -6
So, the ordered pair (3, -6) is a solution to the equation as well.
Therefore, the solutions to the equation 2x + 3y = -12 are (0, -4) and (3, -6).