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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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BuyFindarrow_forward

Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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In Exercises 1-8, solve the system of equations.

{ 3 x + y = 7 2 x 4 y = 14

To determine

To calculate: The solution of the system of equations 2x4y=14 and 3x+y=7.

Explanation

Given Information:

The provided system of equations is,

{2x4y=143x+y=7

Formula used:

Steps to solve a system of equations in two variables,

{a1x+b1y=c1a2x+b2y=c2

1. Make one of the equations in such a way that one variable is on one side of equal sign while the other variable and constant on the other side.

2. Substitute the value of the variable in another equation.

3. Solve the equation for that variable.

4. Substitute the value of obtained variable in one of the equations.

5. Write the solution of system of equation.

Calculation:

Consider the system of equation,

{2x4y=143x+y=7

Simplify the equation, 2x4y=14

Divide both side by 2,

2x24y2=142x2y=7x7=2yx72=y

Substitute y=x72 in the equation 3x+y=7

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