Is the equation true, false or open? Explain.

Question

8+4=-5+7

Answer 1

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.

Answer 2

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)

Answer 3

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).