# math

posted by .

is each ordered pair a solution of the given system? write yes or no.
1. y=6x+12
2x-y=4

(-4, -12)

2. Y= -3x
x=4y+1/2

(-1/2,3/2)

3.x+2y=2
2x+5y=2

(6,-2)

4. Solve the system by graphing. Check your solution.
x + y=3
x - y=-1

• math -

In order for an ordered pair to be a solution to a system of equations, it must satisfy all equations in the system. So, when you plug the x and the y into each equation, they BOTH must be true to be a solution. If one is true and the other is false, its NOT a solution.

For example, your 3rd question . .
-------------------------------------
Is (6,-2) a solution?
x+2y=2
6+2(-2)=2?
6-4=2?
2=2 (TRUE!)
~~~~~~~~~~~~~~~~~
2x+5y=2
2(6)+5(-2)=2?
12-10=2?
2=2 (TRUE!)

Therefore, the point (6,-2) is a solution

For Graphing, get both equations into y=mx+b. Plot the y-ntercept and then use your slope to find your second point. Draw your graph. Repeat for the other equation. See where the two graphs cross(intersect). That ordered pair is your solution!

## Similar Questions

1. ### math

Determine whether the ordered pair is a solution of the inequality (5, 12); 6y-7x.7 Is the ordered pair a solution of the inequality?
2. ### alegebra

Solve the system of equations by graphing. Then classift the system as consistent or inconsistent and the equations as dependent or independent. 3x-y=14 3x+4y=-26 What is the solution of the system of equations?

Solve the system of equations by graphing then classify the system as consistent and the equation as dependent or independent. 4x-y=26 4x+5y=-10 What is the solution of the system of Equations?
4. ### math

Solve the system of equations by graphing. Then classify the system?
5. ### math

Solve the system of equations by graphing. Then Classify the system?
6. ### math

Solve the system by graphing. Then classify the system.?
7. ### math

Solve the following system using elimination. If a single solution exists, write the solution as an ordered pair. Your answer will be an ordered pair, no solution, or infinitely many solutions. x-3y=5 2x-6y=10
8. ### math

Solve the following system using elimination. If a single solution exists, write the solution as an ordered pair. Your answer will be an ordered pair, no solution, or infinitely many solutions x-y=4 3x-5=2
9. ### math algebra

Solve the following system using elimination. If a single solution exists, write the solution as an ordered pair. Your answer will be an ordered pair, no solution, or infinitely many solutions. -a+b=-4 2a-3b=-2
10. ### MATH

Solve this system using elimination. If a single solution exists, write the solution as an ordered pair. Your answer will be an ordered pair, no solution, or infinitely many solutions 2x-y=0 3x+y=5

More Similar Questions