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Solve the system using either method of substitution or elimination

Solve the system using either method of substitution or elimination

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Solve the system using either method of substitution or

elimination.

Solution

3x+5y+4z=13_5x+2y+3z=-9_6x+3y+4z=-8

Move all terms not containing x to the right-hand side of

the equation. 3x=-5y-4z+13_5x+2y+3z=-9_6x+3y+4z=-8

Divide each term in the equation by 3. (3x)/(3)=-(5y)/(3)-

(4z)/(3)+(13)/(3)_5x+2y+3z=-9_6x+3y+4z=-8 Simplify the

left-hand side of the equation by canceling the common

factors. x=-(5y)/(3)-(4z)/(3)+(13)/(3)_5x+2y+3z=-

9_6x+3y+4z=-8 Simplify the right-hand side of the

equation by simplifying each term. x=(-5y-

4z+13)/(3)_5x+2y+3z=-9_6x+3y+4z=-8 Replace all

occurrences of x with the solution found by solving the last

equation for x. In this case, the value substituted is ((-5y-

4z+13))/(3). x=(-5y-4z+13)/(3)_5((-5y-4z+13)/(3))+2y+3z=-

9_6x+3y+4z=-8 Replace all occurrences of x with the

solution found by solving the last equation for x. In this

case, the value substituted is ((-5y-4z+13))/(3). x=(-5y-

4z+13)/(3)_5((-5y-4z+13)/(3))+2y+3z=-9_6((-5y-

4z+13)/(3))+3y+4z=-8 Remove the parentheses around

the expression -5y-4z+13. x=(-5y-4z+13)/(3)_5((-5y-

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4z+13)/(3))+2y+3z=-9_6((-5y-4z+13)/(3))+3y+4z=-8 Divide

each term in the numerator by the denominator. x=-

(5y)/(3)-(4z)/(3)+(13)/(3)_5((-5y-4z+13)/(3))+2y+3z=-9_6((-

5y-4z+13)/(3))+3y+4z=-8 Remove the parentheses around

the expression -5y-4z+13. x=-(5y)/(3)-(4z)/(3)+(13)/(3)_5((-

5y-4z+13)/(3))+2y+3z=-9_6((-5y-4z+13)/(3))+3y+4z=-8

Divide each term in the numerator by the denominator. x=-

(5y)/(3)-(4z)/(3)+(13)/(3)_5(-(5y)/(3)-

(4z)/(3)+(13)/(3))+2y+3z=-9_6((-5y-4z+13)/(3))+3y+4z=-8

Combine the numerators of all expressions that have

common denominators. x=-(5y)/(3)-(4z)/(3)+(13)/(3)_5((-

5y+13)/(3)-(4z)/(3))+2y+3z=-9_6((-5y-4z+13)/(3))+3y+4z=-

8 Divide each term in the numerator by the denominator.

x=-(5y)/(3)-(4z)/(3)+(13)/(3)_5(-(5y)/(3)+(13)/(3)-

(4z)/(3))+2y+3z=-9_6((-5y-4z+13)/(3))+3y+4z=-8 Multiply

5 by each term inside the parentheses. x=-(5y)/(3)-

(4z)/(3)+(13)/(3)_(-25y+65)/(3)-(20z)/(3)+2y+3z=-9_6((-5y-

4z+13)/(3))+3y+4z=-8 Divide each term in the numerator

by the denominator. x=-(5y)/(3)-(4z)/(3)+(13)/(3)_-

(25y)/(3)+(65)/(3)-(20z)/(3)+2y+3z=-9_6((-5y-

4z+13)/(3))+3y+4z=-8 Remove the parentheses around

the expression -5y-4z+13. x=-(5y)/(3)-(4z)/(3)+(13)/(3)_-

(25y)/(3)+2y-(20z)/(3)+3z+(65)/(3)=-9_6((-5y-

4z+13)/(3))+3y+4z=-8 Divide each term in the numerator

by the denominator. x=-(5y)/(3)-(4z)/(3)+(13)/(3)_-

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Solve the system using either method of substitution or elimination. Solution 3x+5y+4z=13_5x+2y+3z=-9_6x+3y+4z=-8 Move all terms not containing x to the right -hand side of the equation. 3x=-5y-4z+13_5x+2y+3z=-9_6x+3y+4z=-8 Divide each term in the equation by 3. (3x)/(3)= -(5y)/(3)(4z)/(3)+(13)/(3)_5x+2y+3z=-9_6x+3y+4z=-8 Simplify the left-hand side of the equation by canceling the common factors. x=-(5y)/(3)-(4z)/(3)+(13)/(3)_5x+2y+3z=9_6x+3y+4z=-8 Simplify the right-hand side of the equation by simplifying each term. x=( -5y4z+13)/(3)_5x+2y+3z=-9_6x+3y+4z=-8 Replace all occurrences of x with the solution found by solving the last equation for x. In this case, the value substituted is (( -5y4z+13))/(3). x=(-5y-4z+13)/(3)_5((-5y-4z+13)/(3))+2y+3z=9_6x+3y+4z=-8 Replace all occurrences of x with the solution found by solving the last equation for x. In this case, the value substituted is ((-5y-4z+13))/(3). x=(-5y4z+13)/(3)_5((-5y-4z+13)/(3))+2y+3z=-9_6((-5y4z+13)/(3))+3y+4z=-8 Remove the parentheses around the expression -5y-4z+13. x=(-5y-4z+13)/(3)_5((-5y- 4z+13)/(3))+2y+3z=-9_6((-5y-4z+13)/(3))+3y+4z=-8 Divide each term in the numerator by the denominator. x= (5y)/(3)-(4z)/(3)+(13)/(3)_5((-5y-4z+13)/(3))+2y+3z=-9_6((5y-4z+13)/(3))+3y+4z=-8 Remove the parentheses around the expression -5y-4z+13. x=-(5y)/(3)-(4z)/(3)+(13)/(3)_5((5y-4z+13)/(3))+2y+3z=-9_6((-5y-4z+13)/(3))+3y+4z=-8 Divide each term in the numerator by the denominator. x= (5y)/(3)-(4z)/(3)+(13)/(3)_5(-(5y)/(3) ...
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