Solve the system by elimination.
14) 5x + 6y = -8
-2x + 8y = 24
my question is: when im solving by elimination how do i know which number to multiply with on both equations! that’s what confuses me.

x=-4, y=2. (-4, 2).

Step-by-step explanation:

5x+6y=-8

-2x+8y=24

2(5x+6y)=2(-8)

5(-2x+8y)=5(24)

10x+12y=-16

-10x+40y=120

52y=104

y=104/52

y=2

5x+6(2)=-8

5x+12=-8

5x=-8-12

5x=-20

x=-20/5

x=-4

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

u bout ugly as   a mf

step-by-step explanation: lol