I need to know how to do the systems of equation

Mathematics

1 answer:

belka [17]3 years ago

4 0

Answer: x = 3
y = -1

There are many ways to do the systems of equations. To solve this, I used the substitution method.

Isolate y or x (whichever is easier) in the first equation IF NECESSARY.
y = x - 4 --> it's already given

Substitute in (x - 4) for y in the second equation.
2x + (x - 4) = 5 Distributive Property
2x + x - 4 = 5 Combine like terms
3x - 4 = 5 Add 4 to both sides
3x = 9 Divide by 3 to both sides
x = 3 Answer!

Substitute in (3) for x in the first equation.
y = (3) - 4 Simplify
y = -1 Answer!

You might be interested in

Solve for h h - 3h - 8 = 14 H=?

sweet [91]

The initial step that must be taken before solving almost any problem is to understand what the problem is asking for us to do and what is provided to us to complete that goal. Looking at the problem statement, we can see that we are being requested to solve for h and we are provided an expression to do so. Let's begin solving the expression by combining like terms.

Combine like terms

$h - 3h - 8 = 14$

$(h - 3h) - 8 = 14$

$(- 2h) - 8 = 14$

Just a quick explanation on what combine like terms means, it basically just means to combine the coefficients of the numbers associated with the same variables. Like in this example we can combine h and -3h because they have have the variable h associated with them.

Add 8 to both sides