Is there an ordered pair that is a solution to BOTH of
these linear equations?
y=x+1
y = -x + 5
No
Yes

The ordered pair is (2,3)

Step-by-step explanation:

To solve this problem, we can use substitution. With substitution, we substitute the y in each problem with the equations. In this case, x + 1 can substitute the y in y = -x + 5. Here is what the problem looks like now:

x + 1 = -x + 5

The reason we used substitution is because we assume that these linear equations are equal. We must prove it, though. We can use algebra.

Move the variables to one side and the numerical values to another:

x + x = 5 - 1.

Simplify.

2x = 4

Simplify.

x = 2.

Now, we got our x value, we can substitute it into our problem:

y = 2 + 1

y + -2 + 5

2 + 1 = - 2 + 5 = 3

Our x is 2, and our y is 3. The ordered pair that is a solution is (2,3).

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.