SOLUTION: Please answer problem 1 graphically with complete solutions and checking:
# 1) x + y = 5
x - y = -3
Please answer problem 2 by substitution method with complete solutions
Algebra.Com
Question 480673: Please answer problem 1 graphically with complete solutions and checking:
# 1) x + y = 5
x - y = -3
Please answer problem 2 by substitution method with complete solutions and checking:
# 2) x = 3y + 4
2x – 8y – 6 = 0
Please answer problem 3 by elimination method with complete solutions and checking:
# 3) 2x + 5y = - 8
3x – y = 5
Would appreciate if you can solve it step by step for me to understand it better. Thanks in advance.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Please answer problem 1 graphically with complete solutions and checking:
# 1) x + y = 5
x - y = -3
put both equations into the slope/intercept form: y = mx + 2
y = -x + 5
and
-y = -x - 3
y has to be positive, multiply both sides by -1
y = x + 3
:
We will plot two coordinates for each each equation, x=2 and x=-2,
y = -x + 5, (Red)
x | y
-------
2 | 3, y = -(2) + 5
-2 | 7, y = -(-2) + 5
and
y = x + 3, (Green)
x | y
-------
2 | 5; y = 2 + 3
-2 | 3; y = -2 + 3
:
Plot the two on the same graph, should look like this:
you can see that the point of intersection: x=1, y=4, is the solution
Check this by putting 1 for x and 4 for y in both original equations
:
:
Please answer problem 2 by substitution method with complete solutions and checking:
# 2) x = 3y + 4
2x – 8y – 6 = 0
we will use the 1st equation for substitution just like it is but
will write the 2nd equation in the standard form
2x - 8y = +6
Substitute (3y+4) x in the above equation
2(3y+4) - 8y = 6
6y + 8 - 8y = 6
6y - 8y = 6 - 8
-2y = -2
y has to be positive, multiply both sides by -1
2y = 2
y = 2/2
y = 1
Find x using the 1st equation
x = 3(1) + 4
x = 7
The solution x=7, y=1
You can check these solutions in the 2nd original equation
:
:
Please answer problem 3 by elimination method with complete solutions and checking:
2x + 5y = -8
3x – y = 5
Multiply the 2nd equation by 5, add to the 1st equation
2x + 5y = -8
15x -5y = 25
------------------addition will eliminate y, find x
17x = 17
x = 17/17
x = 1
Find y using the 1st equation 2x + 5y = -8
2(1) + 5y = -8
5y = - 8 - 2
5y = -10
y = -10/5
y = -2
The solution: x=1, y=-2
You can check these solutions in both original equations
:
Did you understand this, any questions?
RELATED QUESTIONS
I need a refresher in order to work with linear equations, please help! The problem I am (answered by usyim88hk,cleomenius)
please help me with this problem
complete the following table for the equation y=6x-5
(answered by uma)
Determine whether each sysem is consistent or inconsistent by solving it algebraically... (answered by scott8148)
Need help with this problem please.
Find the equation of the line that contains the... (answered by ankor@dixie-net.com)
Please help me with this problem:
Find all solutions of the given system of equations (answered by KMST)
Could you please help me with the steps,in this kind of problem? I know that I have to... (answered by jim_thompson5910)
Simply and express your answer with a denominator of 1 :
{{{... (answered by ikleyn)
1.) Solve the system.
4x + 3y = 11
3x - 2y= 4
2.) Is this right?: Jennifer has... (answered by stanbon)
Please help me solve this problem.
Find the solutions for x, y, and z:
x + 2y -... (answered by haileytucki)