Question

A system of equations is shown.
x+y=7
2x-y=-1
What is the solution to the system of equations?

Answer 1

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

Let's solve it using the method of substitution first.
From the first equation, we can express y in terms of x as in y = 7-x.
Then we substitute this expression into the second equation.
2x - (7-x) = -1
2x -7 + x = -1
3x - 7 = -1
3x = 6
x = 2

Now that we have the value of x, we can substitute it back into one of the original equations to solve for y.
Using the first equation:
2 + y = 7
y = 5

Therefore, the solution to the system of equations is x = 2 and y = 5.