Question

Solve the state of equations

2x - 4y = 10
x + 5y = 4
A) x = 2, y = 3
B) x = 3, y = 2
C) x = -2, y = 3
D) x = -3, y = 2

Answer 1

To solve the system of equations 2x - 4y = 10 and x + 5y = 4, use the method of substitution. The solution is x = 33/7 and y = -1/7.

Step-by-step explanation:

To solve the system of equations 2x - 4y = 10 and x + 5y = 4, we can use the method of substitution. First, solve one equation for one variable and substitute it into the other equation. Let's solve the second equation for x:

x = 4 - 5y

Now substitute this value of x into the first equation:

2(4 - 5y) - 4y = 10

Simplify and solve for y:

8 - 10y - 4y = 10

-14y = 2

y = -2/14

y = -1/7

Now substitute this value of y back into the second equation to find x:

x + 5(-1/7) = 4

x - 5/7 = 4

x = 4 + 5/7

x = 33/7

Therefore, the solution to the system of equations is x = 33/7 and y = -1/7.