Will give brainliest a pair of equations is shown below. x + y = 2 y = one half x + 5 if the two equations are graphed, at what point do the lines representing the two equations intersect? (4 points) (4, –2) (–2, 4) (2, 5) (5, –2)

(-2, 4)

Step-by-step explanation:

One of the equations is already solved for y, so let's solve the other one for y and by the transitive proprerty of equality, if y = y, then what those y's are equal to are equal to each other.  Solving the first equation for y:

x + y = 2 so

y = -x + 2

Let's fill that in for y in the second equation.  Where

, making the substitution,

Combining like terms and getting the x on one side and the constant on the other side of the equals sign:

The product of a fraction and its reciprocal is 1 so we will multiply both sides by

to get:

and we end up with x = -2.

Now that we know that, we can sub that in for x in either one of the original equations.  I chose the first one:

If x + y = 2, then -2 + y = 2

and y = 4

Therefore, the solution set is (-2, 4)

1

step-by-step explanation:

it's the only multiple of both and the least

0.6

39mph

step-by-step explanation: