SOLUTION: Problem # 70 x + 3y = 2 -x + y = 1 Problem # 36 y = -3x + 19 y = 2x - 1 Problem # 24 4x + 5y = -2 4y

SOLUTION: Problem # 70 x + 3y = 2 -x + y = 1 Problem # 36 y = -3x + 19 y = 2x - 1 Problem # 24 4x + 5y = -2 4y - x = 11

Question 206456This question is from textbook Elementary and Intermediate Algebra
: Problem # 70
x + 3y = 2
-x + y = 1
Problem # 36
y = -3x + 19
y = 2x - 1
Problem # 24
4x + 5y = -2
4y - x = 11 This question is from textbook Elementary and Intermediate Algebra

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'll do the first one to get you started.

Start with the given system of equations:

Add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this:

Group like terms.

Combine like terms.

Simplify.

Divide both sides by to isolate .

------------------------------------------------------------------

Now go back to the first equation.

Plug in .

Multiply.

Multiply both sides by the LCD to clear any fractions.

Distribute and multiply.

Subtract from both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

So the solutions are and .

Which form the ordered pair

.

This means that the system is consistent and independent.

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