# Math

"Solving a system involving three unknowns."

3d+e-2f=-14
2d-3e+4f=-23
5d+4e-10f=-13

1. 👍 0
2. 👎 0
3. 👁 50
1. 1st times 3 plus the 2nd ---> 11d -2f = -65
1st time 4, subtract the 3rd -->7d + 2f = -43

add these last two ----> 18d = -108
d = -6

in 7d + 2f = -43
-42 + 2f = -43
2f = -1
f = -1/2

in the 1st:
-18 + e -2(-1/2) = -14
e = 3

check in
2nd: LS = -12 -9 - 2 = -23 = RS
3rd: LS = -30 +12 + 5 = -13 = RS

My answer is correct.
d=-6
e=3
f=-1/2

1. 👍 0
2. 👎 0
posted by Reiny

## Similar Questions

1. ### Math

"Solving a system involving three unknowns." We're supposed to use substitution or elimination. 3d+e-2f=-14 2d-3e+4f=-23 5d+4e-10f=-13

asked by Jam on May 17, 2011
2. ### Math Question

Hi, I need help with a math question. Thank you to whoever helps me! :) When solving a system of 2 equations and 2 unknowns using the substitution method, what is the ideal value of the coefficient of the isolated variable?

asked by Sara on January 7, 2014
3. ### American Correction

Identify and describe at least three ways the criminal justice system operates to allow for an overrepresentation of African Americans and Latinos/as in the prisons. Be sure and give one example involving the police, one involving

asked by Ellis on May 20, 2012
4. ### Physics

You are given vectors A = 5.0i - 6.5j and B = -2.5i + 7.0j. A third vector C lies in the xy-plane. Vector C is perpendicular to vector A and the scalar product of C with B is 15.0. Find the x and y components to vector C. Here's

asked by Vectors on August 30, 2014
5. ### Algebra

Suppose a linear system of equations has 2012 equations and 2013 unknowns. Answer the following questions:  Can the system be inconsistent?  Can the system have a unique solution?  Can the system have infinitely many solutions?

asked by Anonymous on January 31, 2013
6. ### MATH

Solving by graphing DQ 1 Solving by substitution Solving by elimination Which method do you think would be best to solve this system? y=10x-8 y=1/2x+5

asked by Anonymous on October 19, 2010
7. ### Math

Starting with the kinematics equation x = vot + ½ at^2, derive an expresion relating the acceleration and initial velocity of an object to two paired position and time measurements. In other words, if an object's position is x1

asked by Jack1 on September 11, 2012
8. ### Algebra HELP!

Starting with the kinematics equation x = vot + ½ at^2, derive an expresion relating the acceleration and initial velocity of an object to two paired position and time measurements. In other words, if an object's position is x1

asked by Jack on September 11, 2012
9. ### Differential Calc

If: 0 = f(1) = a+b+c+d 2 = f(-2) = -8a+4b-2c+d 0 = f'(1) = 3a+2b+c 0 = f'(-2) = 12a-4b+c "since we now have four equations and four unknowns, we can determine unique solution. Solving for "a" and "b", a=, b=" Please show the

asked by Joey on November 5, 2012
10. ### Physics

Starting with the kinematics equation x = vot + ½ at^2, derive an expression relating the acceleration and initial velocity of an object to two paired position and time measurements. In other words, if an object's position is x1

asked by beanstalk1 on September 11, 2012

More Similar Questions