3. Which ordered pair is a solution of the equation y=x-3
**(5,2)
4. Which ordered pair is a solution of the equation y=5x
**(-2,10)
5 Which ordered pair is a solution of the equation y=-7x+2
**(1,-7)
If anyone is willing to check my answers or help?
4 is wrong sign
5 is wrong
To check if an ordered pair is a solution to an equation, substitute the values of the coordinates into the equation and see if both sides are equal.
Let's go through each equation:
3. For the equation y = x - 3, let's substitute the values of the ordered pair (5, 2):
Substitute x = 5 and y = 2 into the equation: 2 = 5 - 3
Simplify the equation: 2 = 2
Since both sides of the equation are equal, the ordered pair (5, 2) is a solution to the equation.
4. For the equation y = 5x, let's substitute the values of the ordered pair (-2, 10):
Substitute x = -2 and y = 10 into the equation: 10 = 5(-2)
Simplify the equation: 10 = -10
Since both sides of the equation are not equal, the ordered pair (-2, 10) is not a solution to the equation.
5. For the equation y = -7x + 2, let's substitute the values of the ordered pair (1, -7):
Substitute x = 1 and y = -7 into the equation: -7 = -7(1) + 2
Simplify the equation: -7 = -7 + 2
Simplify further: -7 = -5
Since both sides of the equation are not equal, the ordered pair (1, -7) is not a solution to the equation.
So, out of the given ordered pairs:
- (5, 2) is a solution to the equation y = x - 3
- (-2, 10) is not a solution to the equation y = 5x
- (1, -7) is not a solution to the equation y = -7x + 2
To determine which ordered pair is a solution of the given equations, we need to substitute the values of x and y into the equation and check if the equation holds true.
Let's go through each equation and check the given ordered pairs:
1. y = x - 3:
- Substitute x = 5 and y = 2 into the equation: 2 = 5 - 3.
- Simplify: 2 = 2.
- The equation holds true, so (5,2) is a solution.
2. y = 5x:
- Substitute x = -2 and y = 10 into the equation: 10 = 5 * (-2).
- Simplify: 10 = -10.
- The equation does not hold true, so ( -2, 10) is not a solution.
3. y = -7x + 2:
- Substitute x = 1 and y = -7 into the equation: -7 = -7 * (1) + 2.
- Simplify: -7 = -7 + 2.
- The equation holds true, so (1, -7) is a solution.
Therefore, the ordered pairs that are solutions of the equations are:
1. (5,2) for y = x - 3.
2. (1, -7) for y = -7x + 2.
The ordered pair (-2, 10) is not a solution for the equation y = 5x.