Solve the system of equations. \begin{aligned} & -5y+6x = 40 & 3y-8x=-46 \end{aligned} −5y+6x=40 3y−8x=−46 x=x=x, equals y=y=y, equals

The solution is that is, and

Step-by-step explanation:

The given system of equations is

We can solve this system by elimination, that is, we have to eliminate one variable to find the other one.

We are gonna multiply the second equation by and solve for

Now, we replace this value in one equation to find the other value

Therefore, the solution is that is, and

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)