118k views
2 votes
X+y=7
2x-y=-1

what is the solution to the system of equations.

2 Answers

4 votes

Answer:

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.

User Jcuypers
by
4.3k points
4 votes

Answer:

5/2, 2

Explanation:

8x=20

x= 5/2

-4y = -8

y = 2

User GeekLei
by
4.2k points