y=(-1)
x=(2)
Plug your ordered pair into both of your equations to see if you get they work.
That would be the "solution" to the set of equations.
Tell whether the ordered pair (5, -5) is a solution of the system
Do you mean: 4x+7y = 47 and 5x-4y = -5 Then the solutions to the simultaneous equations are: x = 3 and y = 5
The equation 2x-5y=-1 has a graph that is a line. Every point on that line is an ordered pair that is a solution to the equation. So pick any real number x and plug it in. You will find a y and that pair (x,y) is an ordered pair that is a solution to this equation. For example, let x=0 Then we have -5y=-1so y=1/5 The ordered pair (0, 1/5) is a point on the line and a solution to the equation.
7
(10, 2)
Plug your ordered pair into both of your equations to see if you get they work.
Always. Every ordered pair is the solution to infinitely many equations.
That would be the "solution" to the set of equations.
an ordered pair that makes both equations true
The ordered pair is (1, 3).
(0,7)
The pair of equations have one ordered pair that is a solution to both equations. If graphed the two lines will cross once.
Tell whether the ordered pair (5, -5) is a solution of the system
x = -3/5 and y = -24/5
If an ordered pair is a solution to a system of linear equations, then algebraically it returns the same values when substituted appropriately into the x and y variables in each equation. For a very basic example: (0,0) satisfies the linear system of equations given by y=x and y=-2x By substituting in x=0 into both equations, the following is obtained: y=(0) and y=-2(0)=0 x=0 returns y=0 for both equations, which satisfies the ordered pair (0,0). This means that if an ordered pair is a solution to a system of equations, the x of that ordered pair returns the same y for all equations in the system. Graphically, this means that all equations in the system intersect at that point. This makes sense because an x value returns the same y value at that ordered pair, meaning all equations would have the same value at the x-coordinate of the ordered pair. The ordered pair specifies an intersection point of the equations.