Thursday

October 2, 2014

October 2, 2014

Posted by **Rebecca** on Tuesday, March 9, 2010 at 12:46am.

(a) 3y = x – 10

y = x – 2

(b)x + y = 5

3x + 3y = 15

- MATH214 -
**FredR**, Tuesday, March 9, 2010 at 4:43am(a) 3y = x - 10

substitute in the 2nd equation

3(x-2) = x - 10

3x - 6 = x - 10

simplifing...

2x = -4 or x = -2 and y = -4

this is a unique solution

(b) this system has infinitely many solutions and cannot be solved without more information.

3x + 3y = 15

divide equation by 3

(3/3)x + (3/3)y = 15/3 or

x + y = 5

so the equations are essentially identical.

**Answer this Question**

**Related Questions**

MATH214 - Solve each of the following systems, if possible. Indicate whether the...

math - two systems of equations are giving below for each system choosethe best ...

math - A linear system may have a unique solution, no solution, or infinitely ...

math - A linear system may have a unique solution, no solution, or infinitely ...

Algebra 2 Helpp :( - QUESTIONS (vvv) (1) Solve the system by subsitution 2x + y...

Algebra - Checking a few answers to some algebra problems: 1.Find the slope of ...

algebra - Solve the system of equations using the addition (elimination) method...

math - two systems of equations are given below for each system, choose the best...

Math - Solve the system of equations using the addition (elimination) method. If...

algebra - solve the systems of equations {4/7x+y=2/7 -1/8x-3/4y=-11/4 a. the ...