# math plz help ;-;

1. Solve the system by any method:
2x-5y=-1
2x-y=1

How many solutions does the system of equations below have? Explain your answer.
y=3/5x-1
y=6/10x+3

plz help me ;-; i don't understand how to do this, sorry ;-;

1. 👍
2. 👎
3. 👁
1. 1. 2x-y=1 => y=2x-1 ...
sub into equation 1 and solve for x ... 2x-5(2x-1)=-1 => 2x-10x+5=-1
=> 10x-2x=5+1
=> 8x=6 => x=(8/6)=(4/3)
Sub x into either equation and solve for y ...
2x-5y=-1
=> 2(4/3) - 5y = -1
=> 2.7 - 5y = -1
=> 2.7 + 1 = 5y
=> 3.7 = 5y
=> y = (3.7/5) = 0.74

Same procedure for 2nd set... Solve one equation for x or y, sub into the 2nd equation and solve for the variable.

1. 👍
2. 👎
2. Since both equations contain 2x, the easiest way would be elimination, thus subtract them:

-4y = -2
y = -2/-4 = 1/2

sub into the first:
2x - 5(1/2) = -1
2x = 5/2-1 = 3/2
x = 3/4 ---------> x = 3/4 , y = 1/2

#2
y=(3/5_x-1
y=6/10x+3 ----> y = (3/5)x + 3

since you have two lines with the same slope, but different y-intercepts, you have two distinct parallel lines.
Which of course cannot meet, so
there is no solution

1. 👍
2. 👎

## Similar Questions

1. ### math

If you try to solve a linear system by the substitution method and get the result 0 = 8, what does this mean? A. The system has one solution, (0,8). B.The system has one solution, (8,0). C.The system has no solutions. D.The system

2. ### math

Solve the system 6x+4y = 12 9x+6y = 18 If the system has infinitely many solutions, express your answer in the form x=x and y as a function of x x=? y=?

3. ### Algebra Help

1. Verify that (-4, 12) is the solution to the system. Show work to justify your answer 2x+y=5 -5x-2y=-6 2. Solve the system by graphing. State the solution. x + y =2 2y – x = 10 3. Solve the system by substitution. State

4. ### algebra

Consider the following system of equations. y = −2x − 3 y = −2x + 2 Are the graphs of the two lines intersecting lines, the same line, or parallel lines? Explain your reasoning. How many solutions does the system have?

1. ### linear algebra

The reduced row-echelon form of the augmented matrix for a system of linear equations with variables x1, ... , x5 is given below. Determine the solutions for the system and enter them below. 1 0 0 -3 -3 = 4 0 1 0 -2 -5 =-1 0 0 0 0

2. ### Math

Solve by eliminnation methods 2x-4y=5 2x-4y=6 solve the system by elimination method 5x+2y= -13 7x-3y=17 Solve x+64 Determine whether the given numbers are solutions of the inequality 8,-10,-18,-3 y-8>2y-3 Solve by the

3. ### Linear Equations

Solve using the elimination method. If the system has no solution or an infinite number of solutions, state this. 10x - y = 12.5 3x + y = 7

4. ### intermediat algebra

. Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this. -2x + 9y = 56 9x – 9y = 0

1. ### algebra

Solve each system graphically. If a system has an infinite number of solutions, use set builder notation to write the solution set. If a system has no solution, state this. x + y = 6 x - y = 4 I'm lost, Please Help!! Thank you

2. ### Algebra II

Explain, in complete sentences, which method you would use to solve the following system of equations and why you chose that method. Provide the solution to the system. x - 3y + 2z = -12 x + 2y + 3z = 6 2x - 3y - z = -2

3. ### Algebra

Find the number of the solutions to each system. a. 4x-y+1=0 4x-y+3=0 b. 2x-y+4=0 4x-2y+8=0 Write a question that can be solved using a system of linear equations. Solve the following system of equations by graphing: y=x+3 and

4. ### college Algebra

Write the system as a matrix and solve it by Gauss-Jordan elimination. (If the system is inconsistent, enter INCONSISTENT. If the system has infinitely many solutions, show a general solution in terms of x, y, or z.) x + 2y − z