Question

1) solve by the elimination method.
4x-2y= 38
4y= 23 - 3x

2) 5x + y= -3
7x-3y= -35

Answer 1

I'll do the first one to start you off. First, add 3x to both sides in the 2nd equation to get 3x+4y=23. Now double everything in the first equation to get 8x-4y=76. Now add the two equations to get (8x-4y)+(3x+4y)=76+23 which then simplifies to 11x=99. Solve for x to get x = 99/11 = 9. So x = 9. Plug this into either equation and solve for y. I'm going to pick on the equation 4y=23-3x. So 4y=23-3(9) becomes 4y=23-27 and 4y=-4, which means that y = -1. So the solutions are x = 9 and y = -1

Answer 2

thanks

Answer 3

1) rewrite 4y=23-3x to get 3x+4y=23
Now you get:

4x-2y=38
3x+4y=23
Multiply the first equation by 2 to get the following:

8x-4y=76
3x+4y=23

Add both equations:

11x=99
x=9 Substitute this value into :

3x+4y=23
3(9)=4y=23
27+4y=23
4y=-4
y=-1

2) Similar situation to (1) above:

5x+y=-3
7x-3y=-35

Multiply the first equation by 3 to get:

15x+3y=-9
7x-3y=-35

Add both equations to get:

22x=-44
x=-2 Substitute this value into:

5x+y=-3
5(-2)+y=-3
-10+y=-3
y=7