SOLUTION: How would I solve these systems? 1)x+5y=4 3x-7y=-10 2)-5x+3y=6 x-y=4 3)3x-8y=13 4x-5y=6 4)3x-7y=6 2x+7y=4 5)4x+3y=19 3x-4y=8

Question 22279: How would I solve these systems?
1)x+5y=4
3x-7y=-10

2)-5x+3y=6
x-y=4

3)3x-8y=13
4x-5y=6

4)3x-7y=6
2x+7y=4

5)4x+3y=19
3x-4y=8

6)2x+y=5
3x-2y=4

7)3x-2y=19
5x+4y=17

8)7x+3y=-1
4x+y=3

9)8x-3y=-11
2x-5y=27

10)4x-7y=10
3x+2y=-7
Answer by elima(1433) (Show Source): You can put this solution on YOUR website!
There are different ways to solve thewe, one way is by substitution; where one equation is solved t\for one variable and that solutin is substituted into the second equation. I will solve a few, then you try and do the rest.
Solve one equation for one variable;
1)x+5y=4 (eq.1)
3x-7y=-10 (eq.2)
Lets start by solving eq.1 for x;
x=4-5y (eq.3)
Now substitute eq.3 into the other equation and solve for y;
3(4-5y)-7y=-10
12-15y-7y=-10
12-22y=-10
-22y=-10-22
-22y=-22
y=1
Now you have what y equals, so you are going to plug that into eq.1 and solve for x;
x+5(1)=4
x+5=4
x=4-5
x=-1
So the answer; x=-1, y=1
2)-5x+3y=6 (eq.1)
x-y=4 (eq.2)
x-y=4
x=4+y (eq.3)
-5(4+y)+3y=6
-20-5y+3y=6
-20-2y=6
-2y=6+20
-2y=26
y=-13
x-y=4 (eq.2)
x-(-13)=4
x+13=4
x=4-13
x=-9
x=-9, y=-13
Now try and solve the others on your own, if you are still having problems, let me know.
=)

RELATED QUESTIONS
solve using the addition method. #1 x-y=6 3x+y=-2 #2 3x-4y=7 x+4y=5 (answered by NinangS)

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

find value of x and y 1.) 2x+5y=-9 3x-4y=-2 2.) 4x+13y=40 4x+3y=-40 3.) (answered by stanbon)

1.8x+3y=3 2.x+y=7 3.4x+2y=0 4.x+y=6 5.6x=7y=26 6.3x-8y=10 7.4x+3y=-4 4x+5y=-23 (answered by )

SOLVE STEP BY STEP THANK YOU:) 1) x+y=5 3x-y=7 2) 2x+y=3 -2x+5y=-9 3) 3x+5y=0 (answered by Alan3354)

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)

Solve the system using the substitution method. Show all your steps. 1. x+2y=6... (answered by checkley79)

Give the x -intercept and y -intercept of the following. 1. 4x � y = 16 2. 2x + 3y (answered by lynnlo)

Hello, can you please assist me with Solving these problems "Using Elimination" in... (answered by Alan3354,PRMath,josmiceli,MathLover1,MathTherapy)