SOLUTION: 2x-3y=21 y=3-x x=4-5y 3x+15y=-1 5x-2y=14 y=2x-5 help me solve these for my test tomorrow

Question 429681: 2x-3y=21
y=3-x
x=4-5y
3x+15y=-1

5x-2y=14
y=2x-5
help me solve these for my test tomorrow
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
2x-3y=21
y=3-x
---------------
Substitute for "y" and solve for "x":
2x-3(3-x) = 21
2x-9+3x = 21
5x = 30
x = 6
---
Solve for "y":
y = 3-x
y = 3-6
y = -3
==========================================================

x=4-5y
3x+15y=-1
Substitute for "x" and solve for "y":
3(4-5y)+15y = -1
12-15y+15y = -1
12 = -1
----
There is no solution for this system of 2 equations.
There is no point (x,y) that satisfies both equations.
========================================================
5x-2y=14
y=2x-5
---
Substitute for "y" and solve for "x":
5x - 2(2x-5) = 14
5x -4x+10 = 14
x = 4
---
Solve for "y":
y = 2x-5
y = 2*4-5
y = 3
===========================================
Cheers,
Stan H.
============

RELATED QUESTIONS
The questions state to simplify. Please review and help me to understand where I went... (answered by Earlsdon,scott8148,Alan3354)

Hello my name is Shamaila and I have problem solving these problems. 1. 5x-3y=1 y=3x-7... (answered by ankor@dixie-net.com)

Solve by elimination: 1.8x + 11y= 20 5x - 11y= -59 2. 2x + 18y= -9 4x + 18y= -27 (answered by jim_thompson5910)

Can you please tell me if i got these correct? Im doing a practice test to study for my... (answered by Edwin McCravy,solver91311)

1. 4x+3y=1, x=1-y 2. 2x-y=6, -x+y=-1 3. 6x-y=3, 4x-2y=-2 4. 2x+3y=7, x=1-4y 5.... (answered by AnlytcPhil)

3(x-6)=-2x-3 {2x-5)=7 Graph: y=-2x+1 3x-2y=8 Inequality: 16-3x<5x 72<... (answered by elima)

How would I solve these systems? 1)x+5y=4 3x-7y=-10 2)-5x+3y=6 x-y=4 (answered by elima)

I need help I'm studying a test and my teacher gave me thee 8 problems as a review. I... (answered by Alan3354)

2x + 3z = 4 3y + 2z = 5 3x + 4y = −16 (x, y, z) = 2x +... (answered by Alan3354)