Tell whether the given ordered pair is a solution of each equation.
1. 3x + 5 = y; (1, 8)
2. y=(x−1.2)(−3); y equals ( x-- 1.2) ( - 3 ) ; (0, 1.2)
I don't understand
you take the given (x,y) pair and plug it into the equation to see whether it is true.
#1. 3*1 + 5 = 8
true
#2. 1.2 = (0-1.2)(-3) = 3.6
false
why do you repeat the equation, using "equals" ?
To determine whether a given ordered pair is a solution to an equation, we substitute the values of the ordered pair into the equation and check if it satisfies the equation.
1. For the equation 3x + 5 = y and the ordered pair (1, 8), we substitute x = 1 and y = 8 into the equation:
3(1) + 5 = 8
3 + 5 = 8
8 = 8
Since the left-hand side is equal to the right-hand side, the ordered pair (1, 8) is a solution to the equation 3x + 5 = y.
2. For the equation y = (x - 1.2)(-3) and the ordered pair (0, 1.2), we substitute x = 0 and y = 1.2 into the equation:
1.2 = (0 - 1.2)(-3)
1.2 = (-1.2)(-3)
1.2 = 3.6
Since the left-hand side (1.2) is not equal to the right-hand side (3.6), the ordered pair (0, 1.2) is not a solution to the equation y = (x - 1.2)(-3).
To determine whether a given ordered pair is a solution of an equation, you need to substitute the values of the variables from the ordered pair into the equation and check if both sides of the equation are equal.
Let's solve the first equation using the given ordered pair (1, 8):
1. Start with the equation: 3x + 5 = y
2. Substitute x = 1 and y = 8 into the equation: 3(1) + 5 = 8
3. Simplify the equation: 3 + 5 = 8
4. Continue simplifying: 8 = 8
Since both sides of the equation are equal, the given ordered pair (1, 8) is a solution of the equation.
Now let's solve the second equation using the given ordered pair (0, 1.2):
1. Start with the equation: y = (x - 1.2)(-3)
2. Substitute x = 0 and y = 1.2 into the equation: 1.2 = (0 - 1.2)(-3)
3. Simplify the equation: 1.2 = (-1.2)(-3)
4. Continue simplifying: 1.2 = 3.6
Since both sides of the equation are not equal (1.2 ≠ 3.6), the given ordered pair (0, 1.2) is not a solution of the equation.
Therefore, the first ordered pair (1, 8) is a solution of the first equation, while the second ordered pair (0, 1.2) is not a solution of the second equation.