Question

X + y = 7 2x – y = – 1
What is the solution

Answer 1

Answer is (2, 5)
x = 2, y = 5

Step by step

By using graphing you can enter the two equations and find the points where the two lines intersect, that is your solution.
See attached graph

Answer 2

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

Explanation:

To solve this system of equations, we can use either substitution or elimination. Here's how to solve it using elimination:

Multiplying the first equation by 2, we get:

2x + 2y = 14

Now we can subtract the second equation from this one:

2x + 2y - (2x - y) = 14 - (-1)

Simplifying this, we get:

3y = 15

Dividing both sides by 3, we get:

y = 5

Now we can substitute this value of y into either of the original equations to solve for x. Using the first equation, we get:

x + 5 = 7

Subtracting 5 from both sides, we get:

x = 2

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