Solve the system of equations.
-5y+6x=40
3y-8x=-46

x=
y=

x = 5

y = -2

Step-by-step explanation:

Let's solve the system of equations, this way:

-5y + 6x = 40

3y - 8x = -46

-5y + 6x = 40

6x = 40 + 5y

x = (40 + 5y)/6

Substituting x and solving for y in the 2nd equation:

3y - 8x = - 46

3y - 8 * [(40 + 5y)/6] = - 46

3y - (320 + 40y)/6 = - 46

18y - 320 - 40y = - 276 (Multiplying by 6 at both sides)

-22y = - 276 + 320 (Adding 320 at both sides)

-22y = 44

y = -44/22

y = -2

Solving for x in the 1st equation:

-5y + 6x = 40

-5 * - 2 + 6x = 40

10 + 6x = 40

6x = 40 - 10 (Subtracting 10 at both sides)

6x = 30

x = 30/6

x = 5