Question

What is the solution for this system of equations y = x - 4 Y = -x + 6

Answer 1

Our system of equations is:

y = x - 4

y = -x + 6

We can solve this system of equations by substitution. We already have one equation solved for the variable y in terms of x, so we can substitute in this equivalent value for y into the second equation as follows:

y = -x + 6

x - 4 = -x + 6

To simplify this equation, we first are going to add x to both sides of the equation.

2x - 4 = 6

Next, we are going to add 4 to both sides of the equation to separate the variable and constant terms.

2x = 10

Finally, we must divide both sides by 2, to get the variable x completely alone.

x = 5

To solve for the variable y, we can plug in our solved value for x into one of the original equations and simplify.

y = x - 4

y = 5 - 4

y = 1

Therefore, your final answer is x = 5 and y = 1, or as an ordered pair (5,1).

Hope this helps!