2x−y=−5

Question

and x+2y=10

solve the solution

Answer 1

To solve this system of equations, we can use the method of substitution.

First, solve the first equation for y in terms of x:

2x - y = -5
y = 2x + 5

Next, substitute y = 2x + 5 into the second equation:

x + 2(2x + 5) = 10
x + 4x + 10 = 10
5x + 10 = 10
5x = 0
x = 0

Now that we have found the value of x, we can substitute it back into the equation y = 2x + 5 to find the value of y:

y = 2(0) + 5
y = 0 + 5
y = 5

Therefore, the solution to the system of equations is x = 0 and y = 5.