Share
Explore BrainMass

Explore BrainMass

  1. Mathematics
  2. Algebra
  3. Linear Algebra
  4. 153546

Linear Equations

Determine if the given ordered pair is a solution to the equation:

4. -3x + y = -2 (0,2)

6. 2x - y = -3 (-2, -1)

Find the specified values:

8. 6x - 3y = 12 x-intercept & y-intercept

10. 4x - 2y = 6 slope & y-intercept

Re-write the equations in the specified form:

12. y = 2x -3 write in standard form (Ax + By = C)

Derive the slope - intercept equations:

14. Slope = -3, passing through point (-2,3)

16. Passing through points (3, -4) & (-2, -1)

Attachments

Solution Preview

Please see the attached file for the complete solution.
Thanks for using BrainMass.

Determine if the given ordered pair is a solution to the equation:

4. -3x + y = -2 (0,2)

No, as -3*0 + 2 =2.

6. 2x - y = -3 (-2, -1)

Yes, as 2*(-2) -(-1)=-4+1=-3.

Find the specified values:

8. 6x - 3y = 12 x-intercept & y-intercept

To get y-intercept, we let x=0. From 6x - 3y = 12, we have
6*0 - 3y = 12
So,
...

Solution Summary

Linear equations, slope, intercept and ordered pairs are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

$2.19

Related Solutions

Linear equations and linear systems

... Solving, analyzing, ang graphing linear equations; solving linear systems of equations
with two ... of either x or y and then solving the equation for the. ...

Linear Equations and Linear Inequalities

... Consider a system of linear equations that is consistent. The solution(s) consist
of ordered pairs of the form (x, y). Every equation of the system holds only ...

Linear equations

... Systems of Linear Equations. ... 3x - 2y = 6. 2x + 3y = 6. NOTE: Compute for
the values of x and y for each of the equation separately. ...

System of Linear Equations Problems

... From the above, we now have a system of 2 linear equations. Let us use equation
2 and isolate M: 5M = 1.25 − 2 B 1.25 − 2 B M= 5. ...