Is the equation true, false or open? Explain.
8+4=-5+7
The equation is true. This can be verified by simplifying both sides of the equation.
On the left side, 8+4 equals 12.
On the right side, -5+7 also equals 12.
Since both sides of the equation simplify to the same value, the equation is true.
Which ordered pair is a solution of the equation y=-11x+4? Make sure you show work!
(0, -7)
(-1, -7)
(1, -7)
d. (2, 26)
To determine which ordered pair is a solution to the equation y = -11x + 4, we substitute the x and y values of each option into the equation to see if it holds true.
a) (0, -7):
Substituting x = 0 and y = -7 into the equation:
-7 = -11(0) + 4
-7 = 4
Since -7 does not equal 4, (0, -7) is not a solution to the equation.
b) (-1, -7):
Substituting x = -1 and y = -7 into the equation:
-7 = -11(-1) + 4
-7 = 11 + 4
-7 = 15
Since -7 does not equal 15, (-1, -7) is not a solution to the equation.
c) (1, -7):
Substituting x = 1 and y = -7 into the equation:
-7 = -11(1) + 4
-7 = -11 + 4
-7 = -7
Since -7 does equal -7, (1, -7) is a solution to the equation.
d) (2, 26):
Substituting x = 2 and y = 26 into the equation:
26 = -11(2) + 4
26 = -22 + 4
26 = -18
Since 26 does not equal -18, (2, 26) is not a solution to the equation.
Therefore, the solution to the equation y = -11x + 4 is the ordered pair (1, -7).
To determine if the equation 8+4=-5+7 is true, false, or open, we can simplify both sides of the equation.
On the left side of the equation, 8 + 4 equals 12.
On the right side of the equation, -5 + 7 equals 2.
So the simplified equation becomes:
12 = 2
Since 12 is not equal to 2, the equation is false.
To determine whether the equation 8+4=-5+7 is true, false, or open, we need to evaluate both sides of the equation separately and compare the results.
Starting with the left side of the equation: 8+4, we add 8 and 4 to get 12.
Moving on to the right side of the equation: -5+7, we add -5 and 7 to get 2.
Now, we compare the two results we obtained. We have 12 on the left side and 2 on the right side.
Since 12 is not equal to 2, we can conclude that the equation 8+4=-5+7 is false.