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3 votes
A system of equations is graphed on a

coordinate plane.
Which coordinates are the best estimate of the
solution to the system of equations? {2x+3y=12 {4x+2y=10
(6,0)
(0,5)
(1,4)
(1,5)

User Aneuris
by
6.6k points

2 Answers

6 votes

Answer:1,

Explanation:

User Sibidharan
by
6.2k points
4 votes

Answer:

(1, 4)

Explanation:


\text{It looks as if


\begin{array}{rcl}(1) & 2x + 3y = 12 & \\& 3y = 12 - 2x& \text{Subtracted 2x from each side}\\ & y = 4 - (2)/(3)x & \text{Divided each side by3}\\\\(2) & 4x + 2y =10& \\& 2y = 10 - 4x& \text{Subtracted 2x from each side}\\ & y = 5 - 2x & \text{Divided each side by 2}\\\end{array}\\

Below are a few points for Equations (1) and (2).}


\begin{array}cc\mathbf{x} & \mathbf{y} & \mathbf{x} & \mathbf{y}\\0 & 4 & 0 & 5\\& & 1 & 3\\& & 2 & 1\\3 & 2 & &\\6 & 0 & &\\\end{array}\\

Equation (1) is the blue line in the graph below.

Equation (2) is the red line.

The two lines cross at the black dot

Your four points are labelled . The one that is closest to the intersection is (1, 4).

The approximate solution to the system of equations is (1, 4).

A system of equations is graphed on a coordinate plane. Which coordinates are the-example-1
User Kawtousse
by
5.9k points