SOLUTION: Solve the given system by use of elimination: 0.3x-0.2y=4 0.5x+0.3y=1

Question 202422: Solve the given system by use of elimination:

0.3x-0.2y=4
0.5x+0.3y=1

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the first equation.

Multiply EVERY term by 10 to make every number a whole number.

Multiply

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

Move onto the second equation.

Multiply EVERY term by 10 to make every number a whole number.

Multiply

So we have the given system of equations:

Multiply the both sides of the first equation by 3.

Distribute and multiply.

Multiply the both sides of the second equation by 2.

Distribute and multiply.

So we have the new system of equations:

Now 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 .

Reduce.

So the solutions are and .

Which form the ordered pair

.

This means that the system is consistent and independent.

Note: the approximate solutions are and
RELATED QUESTIONS
How do you solve this system of three linear equations using elimination method... (answered by math_tutor2020,MathLover1)

Use the Gauss-Jordan elimination method to solve the system of linear Equations:... (answered by Edwin McCravy)

Solve the following system: 3x+2y=-1 5x+4y= 0 (answered by mananth)

Solve the given system of equations by determinants. 2x-2y-5=0... (answered by richwmiller,ikleyn)

Solve the system by the method of substitution. 6x-3y-4=0... (answered by Alan3354)

solve each system of linear equations by elimination 3a-2b+4=0 2a-5b-1=0 (answered by Fombitz)

Solve by the elimination method. 3x-2y=22 5x+4y=0 What is the solution of the... (answered by HyperBrain)

Use elimination method to solve the system. -4x+4y-2z=-8 -3x-y+4z=0... (answered by ankor@dixie-net.com)

Solve the system by the sustitution method: 3x - 2y = 0 (answered by stanbon)

Solve the given system by use of elimination: 5x+2y=-13... (answered by jim_thompson5910)