Solving Linear Equations

[Petenerd]

Solve for y in terms of x.

1. 2(x - y) = -x + 10

2. 7y - x - 1=y - (2x + 1)

Find the value that corresponds to each value of x.

1. 5 - y= \(\displaystyle \frac 1 2\)x, if x =12.

Solve for y in terms of x. Find four solutions of each equations. [sup:195h1tri](How can I do that?)[/sup:195h1tri]

1. x + 2y = -5

Please teach me how to do the problems.

 

[Aladdin]

1- 2x-2y=-x+10
-2y=-x-2x+10
y=3x/2-5

 

[Denis]

Please teach me how to do the problems.

We told you before, Pete: we check YOUR work; we're not teachers.

 

[stapel]

Find the value that corresponds to each value of x.

To learn how to evaluate, try here.

Solve for y in terms of x.

First, you'll need to learn how to solve linear equations. Then, to learn how to solve literal equations, try here.

Find four solutions of each equations.

To learn how to plug x-values in and get y-values out (with the x,y-pair being a "solution"), try here.

 

[mathland]

Solve for y in terms of x.

1. 2(x - y) = -x + 10

To solve for y in terms of x:

y on one side = x on the other side.

To solve for x in terms of y:

x on one side = y on the other.

For this question, use the distributive rule to remove the parentheses as your first step.

See this link below to learn about the distributive rule:

http://www.themathpage.com/alg/distributive-rule.htm

Back to your question.

After applying the distributive rule on the left side, we get the following equation:

2x - 2y = -x + 10

Adding x to both sides we get:

2x + x - 2y = 10

We now combine like terms on the left side and get:

3x - 2y = 10

Subtracting 3x from both sides we get:

-2y = -3x + 10

Lastly, we divide both sides by -2 to isolate y. By the way, -2 (in this case) is called the coefficient of y.

y = (-3x + 10)/-2

y = (3x/2) - 5

You can now see that y is written in term of x.