Question

Find the solution of the system of equations.
minus, 8, x, plus, 4, y, equals, 0
−8x+4y=
0
minus, x, plus, 2, y, equals, minus, 9
−x+2y=
−9

Answer 1

The system of equations can be written as:

-8x + 4y = 0
-x + 2y = -9

To find the solution, we can use the method of substitution.

First, solve one equation for one variable in terms of the other variable. Let's solve the second equation for x:

-x = -9 - 2y
x = 9 + 2y

Now substitute this expression for x in the first equation:

-8(9 + 2y) + 4y = 0
-72 - 16y + 4y = 0
-12y = 72
y = -6

Now substitute this value of y in the expression for x:

x = 9 + 2(-6)
x = 9 - 12
x = -3

Therefore, the solution to the system of equations is x = -3 and y = -6.