Q: What is the ordered pair for the two equations 3x plus 5y equals 44 and 8x-7y equals -25?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

15

These are equations of two straight lines. Provided the equations are not of the same or parallel lines, there can be only one ordered pair. So the ordered pair is - not are : (0.5, -1)

(0,7)

These are equations of two straight lines. Provided the equations are not of the same or parallel lines, there can be only one ordered pair. So the answer is - (not are) : (-1, 3).

These are equations of two straight lines. Provided the equations are not of the same or parallel lines, there can be only one ordered pair. So the answer is - not are : (3, 0).

Related questions

The ordered pair is (1, 3).

15

These are equations of two straight lines. Provided the equations are not of the same or parallel lines, there can be only one ordered pair. So the ordered pair is - not are : (0.5, -1)

(10, 2)

Plug your ordered pair into both of your equations to see if you get they work.

7

y=(-1) x=(2)

16

(2,3)

(0,7)

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.

That would be the "solution" to the set of equations.