can some help me solve these system of equations?

Question

solve for x and y value

1.2x + 5y = 43x + 6y = 5

2.3x – 2y = -6x + y = -2

32x + 3y = 8x – y = 2

Answer 1

2x + 5y = 43x + 6y = 5

2x + 5y = 43x + 6y - 5 = 5 - 5

2x + 5y = 43 + 6y - 5

2x + 5y = 2x = 43x + 6y - 5 - 2x

5y = 41x + 6y - 5

5y - 5y = 41x + 6y - 5 - 5y

0 = 41x + y - 5

- - - - - - - - - - -s-

Answer 2

In the first example, use the fact that 2x + 5y = 5 and change it by basic algebraic operations to get x = something involving y and numbers. Use this in the second part 43x + 6y = 5 to get an equation in y alone and solve that. There are other ways to do it that might be faster but they would take longer to explain. Examples 2 and 3 can be done in a similar fashion. I'm not prepared to do it all for you.

Answer 3

Question 1
6x + 15y = 12
-6x - 12y = -10----------Add
3y = 2
y = 2/3

6x + 15 x 2/3 = 12
6x + 10 = 12
6x = 2
x = 2/6 = 1/3
Answer is x =1/3 , y = 2/3

Question 2
3x - 2y = - 6
x + y = -2---------X by 2

3x - 2y = -6
2x + 2y = -4----------Add
5x = -10
x = - 2
But x + y = -2 so y = 0
Answer is x = -2 , y = 0

Question 3
2x + 3y = 8
3x - 3y = 6 (after X by 3)

5x = 14
x = 14/5
14/5 - y = 2
14/5 - 10/5 = y
y = 4/5
Answer is x = 14/5, y = 4/5

Answer 4

there are various the type to sparkling up structures, yet my pupils look to love removing appropriate. Multiply the two rows by ability of a few type which will allow you to do away with between the variables once you upload the two rows. in the device... 3x - 2y = 4 4x - 5y = -4 ...you ought to the two multiply the precise by ability of four and the backside by ability of -3 to do away with the x's, or you ought to multiply the precise by ability of 5 and the backside by ability of -2 to do away with the y's. 4(3x - 2y) = 4(4) -3(4x - 5y) = -3(-4) 12x - 8y = sixteen -12x + 15y = 12 including the rows yields 7y = 28 y = 4 Then exchange into any equation and sparkling up for x. 3x - 2y = 4 3x - 2(4) = 4 3x - 8 = 4 3x = 12 x = 4 Your answer is x = 4 and y = 4.

Answer 5

1) x= - 0.0241 y=1.005

2)x=0.61856 y=1.7113

3) x=1/7 y= - 6/7

You cant solve all those together and get one answer

Answer 6

1. subtract:
41x+y=0
y=-41x
2x+5(-41x)=5
2x-205x=5
x=-5/203
y=1

Answer 7

yes