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mr Goodwill [35]
3 years ago
13

How to solve linear equation

Mathematics
2 answers:
ch4aika [34]3 years ago
6 0

Answer:

1.Step 1: Simplify each side, if needed.

2.Step 2: Use Add./Sub. Properties to move the variable term to one side and all other terms to the other side.

3.Step 3: Use Mult./Div. ...

4.Step 4: Check your answer.

I find this is the quickest and easiest way to approach linear equations.

5.Example 6: Solve for the variable.

Nata [24]3 years ago
4 0

You can use elimination and substitution method

EXAMPLE :

Given :

2x + y = 5

3x - 5y = 1

2x + y = 5 (× -5)

3x - 5y = 1

__________

-10x - 5y = - 25

3x - 5y = 1

____________ _ (elimination)

-13x = - 26

x = - 26/-13

x = 2

Substitution x = 2 to 2x + y = 5 :

2x + y = 5

2(2) + y = 5

4 + y = 5

y = 5 - 4

y = 1

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Answer:

Option b is the correct answer

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Read 2 more answers
Anthony has been saving nickels dimes quarters over the last year he knows that he has twice as many nickels as quarters. change
OLga [1]

Answer:

The number of nickel's coin is 150

The number of dime's coin is 35

The number of quarter's coin is 75

Step-by-step explanation:

Let

x ----> the number of nickel's coin

y ---> the number of dime's coin

z ---> the number of quarter's coin

Remember that

1\ nickel=\$0.05

1\ dime=\$0.10

1\ quarter=\$0.25

we know that

x+y+z=260 ----> equation A

0.05x+0.10y+0.25z=29.75 ----> equation B

x=2z ----> equation C

substitute equation C in equation A and equation B

2z+y+z=260

3z+y=260 ---> equation A1

0.05(2z)+0.10y+0.25z=29.75

0.35z+0.10y=29.75 -----> equation B1

Solve the system of equations A1 and B1 by graphing

Remember that the solution is the intersection point both graphs

The solution is the point (75,35)

see the attached figure

so

z=75, y=35

<em>Find the value of x</em>

x=2(75)=150

therefore

The number of nickel's coin is 150

The number of dime's coin is 35

The number of quarter's coin is 75

8 0
3 years ago
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